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Finding the Fourth Proportional to 22,584.41, 33,871.17 and 9,429.65

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Solution

The fourth proportional to 22,584.41, 33,871.17 and 9,429.65 is: 14,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.41 : 33,871.17 = 9,429.65 : x
  2. Step 2: Convert to fraction form
    22,584.41/33,871.17 = 9,429.65/x
  3. Step 3: Cross multiply
    22,584.41x = 33,871.17 × 9,429.65
  4. Step 4: Simplify right side
    22,584.41x = 319,393,278.19
  5. Step 5: Solve for x
    x = 319,393,278.19/22,584.41
  6. Step 6: Final answer
    x = 14,142.20

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