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Finding the Fourth Proportional to 22,867.82, 34,318.13 and 9,729.42

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Solution

The fourth proportional to 22,867.82, 34,318.13 and 9,729.42 is: 14,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867.82 : 34,318.13 = 9,729.42 : x
  2. Step 2: Convert to fraction form
    22,867.82/34,318.13 = 9,729.42/x
  3. Step 3: Cross multiply
    22,867.82x = 34,318.13 × 9,729.42
  4. Step 4: Simplify right side
    22,867.82x = 333,895,377.77
  5. Step 5: Solve for x
    x = 333,895,377.77/22,867.82
  6. Step 6: Final answer
    x = 14,601.10

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1.5x scale

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.