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Finding the Fourth Proportional to 21,985.60, 32,978.40 and 15,764.80

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Solution

The fourth proportional to 21,985.60, 32,978.40 and 15,764.80 is: 23,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.60 : 32,978.40 = 15,764.80 : x
  2. Step 2: Convert to fraction form
    21,985.60/32,978.40 = 15,764.80/x
  3. Step 3: Cross multiply
    21,985.60x = 32,978.40 × 15,764.80
  4. Step 4: Simplify right side
    21,985.60x = 519,897,880.32
  5. Step 5: Solve for x
    x = 519,897,880.32/21,985.60
  6. Step 6: Final answer
    x = 23,647.20

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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.