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Finding the Fourth Proportional to 16,292.72, 22,478.72 and 9,121.58

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Solution

The fourth proportional to 16,292.72, 22,478.72 and 9,121.58 is: 12,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.72 : 22,478.72 = 9,121.58 : x
  2. Step 2: Convert to fraction form
    16,292.72/22,478.72 = 9,121.58/x
  3. Step 3: Cross multiply
    16,292.72x = 22,478.72 × 9,121.58
  4. Step 4: Simplify right side
    16,292.72x = 205,041,420.38
  5. Step 5: Solve for x
    x = 205,041,420.38/16,292.72
  6. Step 6: Final answer
    x = 12,584.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.