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Finding the Fourth Proportional to 16,593.24, 22,898.22 and 9,141.24

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Solution

The fourth proportional to 16,593.24, 22,898.22 and 9,141.24 is: 12,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,593.24 : 22,898.22 = 9,141.24 : x
  2. Step 2: Convert to fraction form
    16,593.24/22,898.22 = 9,141.24/x
  3. Step 3: Cross multiply
    16,593.24x = 22,898.22 × 9,141.24
  4. Step 4: Simplify right side
    16,593.24x = 209,318,124.59
  5. Step 5: Solve for x
    x = 209,318,124.59/16,593.24
  6. Step 6: Final answer
    x = 12,614.66

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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.