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Finding the Fourth Proportional to 13,640.67, 20,442.33 and 10,306.17

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Solution

The fourth proportional to 13,640.67, 20,442.33 and 10,306.17 is: 15,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.67 : 20,442.33 = 10,306.17 : x
  2. Step 2: Convert to fraction form
    13,640.67/20,442.33 = 10,306.17/x
  3. Step 3: Cross multiply
    13,640.67x = 20,442.33 × 10,306.17
  4. Step 4: Simplify right side
    13,640.67x = 210,682,128.18
  5. Step 5: Solve for x
    x = 210,682,128.18/13,640.67
  6. Step 6: Final answer
    x = 15,445.15

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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.