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Finding the Fourth Proportional to 12,959.31, 17,882.56 and 7,293.93

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Solution

The fourth proportional to 12,959.31, 17,882.56 and 7,293.93 is: 10,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.31 : 17,882.56 = 7,293.93 : x
  2. Step 2: Convert to fraction form
    12,959.31/17,882.56 = 7,293.93/x
  3. Step 3: Cross multiply
    12,959.31x = 17,882.56 × 7,293.93
  4. Step 4: Simplify right side
    12,959.31x = 130,434,140.86
  5. Step 5: Solve for x
    x = 130,434,140.86/12,959.31
  6. Step 6: Final answer
    x = 10,064.90

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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.