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Finding the Fourth Proportional to 24,727.50, 34,123.95 and 13,549.26

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Solution

The fourth proportional to 24,727.50, 34,123.95 and 13,549.26 is: 18,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.50 : 34,123.95 = 13,549.26 : x
  2. Step 2: Convert to fraction form
    24,727.50/34,123.95 = 13,549.26/x
  3. Step 3: Cross multiply
    24,727.50x = 34,123.95 × 13,549.26
  4. Step 4: Simplify right side
    24,727.50x = 462,354,270.78
  5. Step 5: Solve for x
    x = 462,354,270.78/24,727.50
  6. Step 6: Final answer
    x = 18,697.98

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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.