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Finding the Fourth Proportional to 16,614.24, 22,927.92 and 9,162.24

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Solution

The fourth proportional to 16,614.24, 22,927.92 and 9,162.24 is: 12,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.24 : 22,927.92 = 9,162.24 : x
  2. Step 2: Convert to fraction form
    16,614.24/22,927.92 = 9,162.24/x
  3. Step 3: Cross multiply
    16,614.24x = 22,927.92 × 9,162.24
  4. Step 4: Simplify right side
    16,614.24x = 210,071,105.74
  5. Step 5: Solve for x
    x = 210,071,105.74/16,614.24
  6. Step 6: Final answer
    x = 12,644.04

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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.