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Finding the Fourth Proportional to 24,115.97, 36,129 and 14,225.87

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Solution

The fourth proportional to 24,115.97, 36,129 and 14,225.87 is: 21,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.97 : 36,129 = 14,225.87 : x
  2. Step 2: Convert to fraction form
    24,115.97/36,129 = 14,225.87/x
  3. Step 3: Cross multiply
    24,115.97x = 36,129 × 14,225.87
  4. Step 4: Simplify right side
    24,115.97x = 513,966,457.23
  5. Step 5: Solve for x
    x = 513,966,457.23/24,115.97
  6. Step 6: Final answer
    x = 21,312.29

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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.