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Finding the Fourth Proportional to 12,534.88, 17,298.13 and 7,499.31

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Solution

The fourth proportional to 12,534.88, 17,298.13 and 7,499.31 is: 10,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.88 : 17,298.13 = 7,499.31 : x
  2. Step 2: Convert to fraction form
    12,534.88/17,298.13 = 7,499.31/x
  3. Step 3: Cross multiply
    12,534.88x = 17,298.13 × 7,499.31
  4. Step 4: Simplify right side
    12,534.88x = 129,723,996.04
  5. Step 5: Solve for x
    x = 129,723,996.04/12,534.88
  6. Step 6: Final answer
    x = 10,349.04

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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.