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Finding the Fourth Proportional to 16,454.70, 22,707.54 and 9,381.24

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Solution

The fourth proportional to 16,454.70, 22,707.54 and 9,381.24 is: 12,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.70 : 22,707.54 = 9,381.24 : x
  2. Step 2: Convert to fraction form
    16,454.70/22,707.54 = 9,381.24/x
  3. Step 3: Cross multiply
    16,454.70x = 22,707.54 × 9,381.24
  4. Step 4: Simplify right side
    16,454.70x = 213,024,882.55
  5. Step 5: Solve for x
    x = 213,024,882.55/16,454.70
  6. Step 6: Final answer
    x = 12,946.14

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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.