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Finding the Fourth Proportional to 16,336.92, 22,549.56 and 9,626.42

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Solution

The fourth proportional to 16,336.92, 22,549.56 and 9,626.42 is: 13,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.92 : 22,549.56 = 9,626.42 : x
  2. Step 2: Convert to fraction form
    16,336.92/22,549.56 = 9,626.42/x
  3. Step 3: Cross multiply
    16,336.92x = 22,549.56 × 9,626.42
  4. Step 4: Simplify right side
    16,336.92x = 217,071,535.38
  5. Step 5: Solve for x
    x = 217,071,535.38/16,336.92
  6. Step 6: Final answer
    x = 13,287.18

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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.