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Finding the Fourth Proportional to 22,432.70, 33,648.32 and 9,281.18

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Solution

The fourth proportional to 22,432.70, 33,648.32 and 9,281.18 is: 13,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.70 : 33,648.32 = 9,281.18 : x
  2. Step 2: Convert to fraction form
    22,432.70/33,648.32 = 9,281.18/x
  3. Step 3: Cross multiply
    22,432.70x = 33,648.32 × 9,281.18
  4. Step 4: Simplify right side
    22,432.70x = 312,296,114.62
  5. Step 5: Solve for x
    x = 312,296,114.62/22,432.70
  6. Step 6: Final answer
    x = 13,921.47

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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.