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Finding the Fourth Proportional to 16,560.96, 22,854.22 and 9,007.38

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Solution

The fourth proportional to 16,560.96, 22,854.22 and 9,007.38 is: 12,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560.96 : 22,854.22 = 9,007.38 : x
  2. Step 2: Convert to fraction form
    16,560.96/22,854.22 = 9,007.38/x
  3. Step 3: Cross multiply
    16,560.96x = 22,854.22 × 9,007.38
  4. Step 4: Simplify right side
    16,560.96x = 205,856,644.14
  5. Step 5: Solve for x
    x = 205,856,644.14/16,560.96
  6. Step 6: Final answer
    x = 12,430.24

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1.5x scale

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.