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Finding the Fourth Proportional to 23,900.58, 32,982.82 and 13,290.20

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Solution

The fourth proportional to 23,900.58, 32,982.82 and 13,290.20 is: 18,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.58 : 32,982.82 = 13,290.20 : x
  2. Step 2: Convert to fraction form
    23,900.58/32,982.82 = 13,290.20/x
  3. Step 3: Cross multiply
    23,900.58x = 32,982.82 × 13,290.20
  4. Step 4: Simplify right side
    23,900.58x = 438,348,274.36
  5. Step 5: Solve for x
    x = 438,348,274.36/23,900.58
  6. Step 6: Final answer
    x = 18,340.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.