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Finding the Fourth Proportional to 17,407.87, 24,042.65 and 11,732.84

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Solution

The fourth proportional to 17,407.87, 24,042.65 and 11,732.84 is: 16,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.87 : 24,042.65 = 11,732.84 : x
  2. Step 2: Convert to fraction form
    17,407.87/24,042.65 = 11,732.84/x
  3. Step 3: Cross multiply
    17,407.87x = 24,042.65 × 11,732.84
  4. Step 4: Simplify right side
    17,407.87x = 282,088,476.10
  5. Step 5: Solve for x
    x = 282,088,476.10/17,407.87
  6. Step 6: Final answer
    x = 16,204.65

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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.