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Finding the Fourth Proportional to 12,531.34, 17,294.86 and 8,228.12

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Solution

The fourth proportional to 12,531.34, 17,294.86 and 8,228.12 is: 11,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.34 : 17,294.86 = 8,228.12 : x
  2. Step 2: Convert to fraction form
    12,531.34/17,294.86 = 8,228.12/x
  3. Step 3: Cross multiply
    12,531.34x = 17,294.86 × 8,228.12
  4. Step 4: Simplify right side
    12,531.34x = 142,304,183.46
  5. Step 5: Solve for x
    x = 142,304,183.46/12,531.34
  6. Step 6: Final answer
    x = 11,355.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.