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Finding the Fourth Proportional to 12,641.85, 17,449.22 and 7,338.38

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Solution

The fourth proportional to 12,641.85, 17,449.22 and 7,338.38 is: 10,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.85 : 17,449.22 = 7,338.38 : x
  2. Step 2: Convert to fraction form
    12,641.85/17,449.22 = 7,338.38/x
  3. Step 3: Cross multiply
    12,641.85x = 17,449.22 × 7,338.38
  4. Step 4: Simplify right side
    12,641.85x = 128,048,938.16
  5. Step 5: Solve for x
    x = 128,048,938.16/12,641.85
  6. Step 6: Final answer
    x = 10,128.97

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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.