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Finding the Fourth Proportional to 16,192.38, 22,345.55 and 9,118.92

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Solution

The fourth proportional to 16,192.38, 22,345.55 and 9,118.92 is: 12,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.38 : 22,345.55 = 9,118.92 : x
  2. Step 2: Convert to fraction form
    16,192.38/22,345.55 = 9,118.92/x
  3. Step 3: Cross multiply
    16,192.38x = 22,345.55 × 9,118.92
  4. Step 4: Simplify right side
    16,192.38x = 203,767,282.81
  5. Step 5: Solve for x
    x = 203,767,282.81/16,192.38
  6. Step 6: Final answer
    x = 12,584.15

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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.