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Finding the Fourth Proportional to 13,498.92, 18,614.88 and 9,022.68

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Solution

The fourth proportional to 13,498.92, 18,614.88 and 9,022.68 is: 12,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.92 : 18,614.88 = 9,022.68 : x
  2. Step 2: Convert to fraction form
    13,498.92/18,614.88 = 9,022.68/x
  3. Step 3: Cross multiply
    13,498.92x = 18,614.88 × 9,022.68
  4. Step 4: Simplify right side
    13,498.92x = 167,956,105.48
  5. Step 5: Solve for x
    x = 167,956,105.48/13,498.92
  6. Step 6: Final answer
    x = 12,442.19

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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.