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Finding the Fourth Proportional to 22,802, 34,174.92 and 16,192.40

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Solution

The fourth proportional to 22,802, 34,174.92 and 16,192.40 is: 24,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802 : 34,174.92 = 16,192.40 : x
  2. Step 2: Convert to fraction form
    22,802/34,174.92 = 16,192.40/x
  3. Step 3: Cross multiply
    22,802x = 34,174.92 × 16,192.40
  4. Step 4: Simplify right side
    22,802x = 553,373,974.61
  5. Step 5: Solve for x
    x = 553,373,974.61/22,802
  6. Step 6: Final answer
    x = 24,268.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.