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Finding the Fourth Proportional to 17,446.92, 24,077.07 and 9,489.21

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Solution

The fourth proportional to 17,446.92, 24,077.07 and 9,489.21 is: 13,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.92 : 24,077.07 = 9,489.21 : x
  2. Step 2: Convert to fraction form
    17,446.92/24,077.07 = 9,489.21/x
  3. Step 3: Cross multiply
    17,446.92x = 24,077.07 × 9,489.21
  4. Step 4: Simplify right side
    17,446.92x = 228,472,373.41
  5. Step 5: Solve for x
    x = 228,472,373.41/17,446.92
  6. Step 6: Final answer
    x = 13,095.28

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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.