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Finding the Fourth Proportional to 24,142.71, 36,221.94 and 11,664.16

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Solution

The fourth proportional to 24,142.71, 36,221.94 and 11,664.16 is: 17,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.71 : 36,221.94 = 11,664.16 : x
  2. Step 2: Convert to fraction form
    24,142.71/36,221.94 = 11,664.16/x
  3. Step 3: Cross multiply
    24,142.71x = 36,221.94 × 11,664.16
  4. Step 4: Simplify right side
    24,142.71x = 422,498,503.67
  5. Step 5: Solve for x
    x = 422,498,503.67/24,142.71
  6. Step 6: Final answer
    x = 17,500.04

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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.