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Finding the Fourth Proportional to 12,649.33, 17,454.75 and 7,343.11

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Solution

The fourth proportional to 12,649.33, 17,454.75 and 7,343.11 is: 10,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.33 : 17,454.75 = 7,343.11 : x
  2. Step 2: Convert to fraction form
    12,649.33/17,454.75 = 7,343.11/x
  3. Step 3: Cross multiply
    12,649.33x = 17,454.75 × 7,343.11
  4. Step 4: Simplify right side
    12,649.33x = 128,172,149.27
  5. Step 5: Solve for x
    x = 128,172,149.27/12,649.33
  6. Step 6: Final answer
    x = 10,132.72

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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.