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Finding the Fourth Proportional to 12,644.29, 17,402.31 and 9,281.78

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Solution

The fourth proportional to 12,644.29, 17,402.31 and 9,281.78 is: 12,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.29 : 17,402.31 = 9,281.78 : x
  2. Step 2: Convert to fraction form
    12,644.29/17,402.31 = 9,281.78/x
  3. Step 3: Cross multiply
    12,644.29x = 17,402.31 × 9,281.78
  4. Step 4: Simplify right side
    12,644.29x = 161,524,366.50
  5. Step 5: Solve for x
    x = 161,524,366.50/12,644.29
  6. Step 6: Final answer
    x = 12,774.49

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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.