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Finding the Fourth Proportional to 23,657,978.80, 35,486,968.20 and 13,418,882.20

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Solution

The fourth proportional to 23,657,978.80, 35,486,968.20 and 13,418,882.20 is: 20,128,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657,978.80 : 35,486,968.20 = 13,418,882.20 : x
  2. Step 2: Convert to fraction form
    23,657,978.80/35,486,968.20 = 13,418,882.20/x
  3. Step 3: Cross multiply
    23,657,978.80x = 35,486,968.20 × 13,418,882.20
  4. Step 4: Simplify right side
    23,657,978.80x = 476,195,445,910,946.06
  5. Step 5: Solve for x
    x = 476,195,445,910,946.06/23,657,978.80
  6. Step 6: Final answer
    x = 20,128,323.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.