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Finding the Fourth Proportional to 25,542.70, 35,248.80 and 14,213.29

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Solution

The fourth proportional to 25,542.70, 35,248.80 and 14,213.29 is: 19,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.70 : 35,248.80 = 14,213.29 : x
  2. Step 2: Convert to fraction form
    25,542.70/35,248.80 = 14,213.29/x
  3. Step 3: Cross multiply
    25,542.70x = 35,248.80 × 14,213.29
  4. Step 4: Simplify right side
    25,542.70x = 501,001,416.55
  5. Step 5: Solve for x
    x = 501,001,416.55/25,542.70
  6. Step 6: Final answer
    x = 19,614.27

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