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Finding the Fourth Proportional to 22,584.72, 33,877.10 and 9,429.92

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Solution

The fourth proportional to 22,584.72, 33,877.10 and 9,429.92 is: 14,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.72 : 33,877.10 = 9,429.92 : x
  2. Step 2: Convert to fraction form
    22,584.72/33,877.10 = 9,429.92/x
  3. Step 3: Cross multiply
    22,584.72x = 33,877.10 × 9,429.92
  4. Step 4: Simplify right side
    22,584.72x = 319,458,342.83
  5. Step 5: Solve for x
    x = 319,458,342.83/22,584.72
  6. Step 6: Final answer
    x = 14,144.89

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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.