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Finding the Fourth Proportional to 24,892.16, 37,338.23 and 14,496.62

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Solution

The fourth proportional to 24,892.16, 37,338.23 and 14,496.62 is: 21,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.16 : 37,338.23 = 14,496.62 : x
  2. Step 2: Convert to fraction form
    24,892.16/37,338.23 = 14,496.62/x
  3. Step 3: Cross multiply
    24,892.16x = 37,338.23 × 14,496.62
  4. Step 4: Simplify right side
    24,892.16x = 541,277,872.61
  5. Step 5: Solve for x
    x = 541,277,872.61/24,892.16
  6. Step 6: Final answer
    x = 21,744.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.