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Finding the Fourth Proportional to 24,342.84, 33,593.16 and 13,732.50

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Solution

The fourth proportional to 24,342.84, 33,593.16 and 13,732.50 is: 18,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.84 : 33,593.16 = 13,732.50 : x
  2. Step 2: Convert to fraction form
    24,342.84/33,593.16 = 13,732.50/x
  3. Step 3: Cross multiply
    24,342.84x = 33,593.16 × 13,732.50
  4. Step 4: Simplify right side
    24,342.84x = 461,318,069.70
  5. Step 5: Solve for x
    x = 461,318,069.70/24,342.84
  6. Step 6: Final answer
    x = 18,950.87

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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.