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Finding the Fourth Proportional to 21,451.10, 32,171.49 and 7,411.61

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Solution

The fourth proportional to 21,451.10, 32,171.49 and 7,411.61 is: 11,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.10 : 32,171.49 = 7,411.61 : x
  2. Step 2: Convert to fraction form
    21,451.10/32,171.49 = 7,411.61/x
  3. Step 3: Cross multiply
    21,451.10x = 32,171.49 × 7,411.61
  4. Step 4: Simplify right side
    21,451.10x = 238,442,617.43
  5. Step 5: Solve for x
    x = 238,442,617.43/21,451.10
  6. Step 6: Final answer
    x = 11,115.64

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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.