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Finding the Fourth Proportional to 21,454.29, 32,176.31 and 7,414.81

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Solution

The fourth proportional to 21,454.29, 32,176.31 and 7,414.81 is: 11,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.29 : 32,176.31 = 7,414.81 : x
  2. Step 2: Convert to fraction form
    21,454.29/32,176.31 = 7,414.81/x
  3. Step 3: Cross multiply
    21,454.29x = 32,176.31 × 7,414.81
  4. Step 4: Simplify right side
    21,454.29x = 238,581,287.05
  5. Step 5: Solve for x
    x = 238,581,287.05/21,454.29
  6. Step 6: Final answer
    x = 11,120.45

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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.