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Finding the Fourth Proportional to 12,338.17, 17,023.31 and 7,031.05

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Solution

The fourth proportional to 12,338.17, 17,023.31 and 7,031.05 is: 9,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.17 : 17,023.31 = 7,031.05 : x
  2. Step 2: Convert to fraction form
    12,338.17/17,023.31 = 7,031.05/x
  3. Step 3: Cross multiply
    12,338.17x = 17,023.31 × 7,031.05
  4. Step 4: Simplify right side
    12,338.17x = 119,691,708.62
  5. Step 5: Solve for x
    x = 119,691,708.62/12,338.17
  6. Step 6: Final answer
    x = 9,700.93

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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.