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Finding the Fourth Proportional to 22,641.63, 33,951.52 and 9,490.47

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Solution

The fourth proportional to 22,641.63, 33,951.52 and 9,490.47 is: 14,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.63 : 33,951.52 = 9,490.47 : x
  2. Step 2: Convert to fraction form
    22,641.63/33,951.52 = 9,490.47/x
  3. Step 3: Cross multiply
    22,641.63x = 33,951.52 × 9,490.47
  4. Step 4: Simplify right side
    22,641.63x = 322,215,834.56
  5. Step 5: Solve for x
    x = 322,215,834.56/22,641.63
  6. Step 6: Final answer
    x = 14,231.12

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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.