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Finding the Fourth Proportional to 12,431.38, 17,155.31 and 6,766.15

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Solution

The fourth proportional to 12,431.38, 17,155.31 and 6,766.15 is: 9,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.38 : 17,155.31 = 6,766.15 : x
  2. Step 2: Convert to fraction form
    12,431.38/17,155.31 = 6,766.15/x
  3. Step 3: Cross multiply
    12,431.38x = 17,155.31 × 6,766.15
  4. Step 4: Simplify right side
    12,431.38x = 116,075,324.04
  5. Step 5: Solve for x
    x = 116,075,324.04/12,431.38
  6. Step 6: Final answer
    x = 9,337.29

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Why These Related Problems?

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