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Finding the Fourth Proportional to 12,639.56, 17,442.65 and 6,974.38

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Solution

The fourth proportional to 12,639.56, 17,442.65 and 6,974.38 is: 9,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.56 : 17,442.65 = 6,974.38 : x
  2. Step 2: Convert to fraction form
    12,639.56/17,442.65 = 6,974.38/x
  3. Step 3: Cross multiply
    12,639.56x = 17,442.65 × 6,974.38
  4. Step 4: Simplify right side
    12,639.56x = 121,651,669.31
  5. Step 5: Solve for x
    x = 121,651,669.31/12,639.56
  6. Step 6: Final answer
    x = 9,624.68

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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.