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Finding the Fourth Proportional to 16,454.62, 22,707.76 and 9,381.70

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Solution

The fourth proportional to 16,454.62, 22,707.76 and 9,381.70 is: 12,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.62 : 22,707.76 = 9,381.70 : x
  2. Step 2: Convert to fraction form
    16,454.62/22,707.76 = 9,381.70/x
  3. Step 3: Cross multiply
    16,454.62x = 22,707.76 × 9,381.70
  4. Step 4: Simplify right side
    16,454.62x = 213,037,255.00
  5. Step 5: Solve for x
    x = 213,037,255.00/16,454.62
  6. Step 6: Final answer
    x = 12,946.96

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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.