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Finding the Fourth Proportional to 13,674.92, 18,864.92 and 8,006.16

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Solution

The fourth proportional to 13,674.92, 18,864.92 and 8,006.16 is: 11,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.92 : 18,864.92 = 8,006.16 : x
  2. Step 2: Convert to fraction form
    13,674.92/18,864.92 = 8,006.16/x
  3. Step 3: Cross multiply
    13,674.92x = 18,864.92 × 8,006.16
  4. Step 4: Simplify right side
    13,674.92x = 151,035,567.91
  5. Step 5: Solve for x
    x = 151,035,567.91/13,674.92
  6. Step 6: Final answer
    x = 11,044.71

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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.