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Finding the Fourth Proportional to 16,277.27, 22,463.07 and 9,204.76

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Solution

The fourth proportional to 16,277.27, 22,463.07 and 9,204.76 is: 12,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.27 : 22,463.07 = 9,204.76 : x
  2. Step 2: Convert to fraction form
    16,277.27/22,463.07 = 9,204.76/x
  3. Step 3: Cross multiply
    16,277.27x = 22,463.07 × 9,204.76
  4. Step 4: Simplify right side
    16,277.27x = 206,767,168.21
  5. Step 5: Solve for x
    x = 206,767,168.21/16,277.27
  6. Step 6: Final answer
    x = 12,702.82

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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.