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Finding the Fourth Proportional to 15,446.12, 23,171.64 and 5,584.40

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Solution

The fourth proportional to 15,446.12, 23,171.64 and 5,584.40 is: 8,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.12 : 23,171.64 = 5,584.40 : x
  2. Step 2: Convert to fraction form
    15,446.12/23,171.64 = 5,584.40/x
  3. Step 3: Cross multiply
    15,446.12x = 23,171.64 × 5,584.40
  4. Step 4: Simplify right side
    15,446.12x = 129,399,706.42
  5. Step 5: Solve for x
    x = 129,399,706.42/15,446.12
  6. Step 6: Final answer
    x = 8,377.49

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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.