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Finding the Fourth Proportional to 24,565.50, 33,900.36 and 13,387.50

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Solution

The fourth proportional to 24,565.50, 33,900.36 and 13,387.50 is: 18,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.50 : 33,900.36 = 13,387.50 : x
  2. Step 2: Convert to fraction form
    24,565.50/33,900.36 = 13,387.50/x
  3. Step 3: Cross multiply
    24,565.50x = 33,900.36 × 13,387.50
  4. Step 4: Simplify right side
    24,565.50x = 453,841,069.50
  5. Step 5: Solve for x
    x = 453,841,069.50/24,565.50
  6. Step 6: Final answer
    x = 18,474.73

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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.