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Finding the Fourth Proportional to 12,749.52, 17,593.14 and 7,714.56

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Solution

The fourth proportional to 12,749.52, 17,593.14 and 7,714.56 is: 10,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.52 : 17,593.14 = 7,714.56 : x
  2. Step 2: Convert to fraction form
    12,749.52/17,593.14 = 7,714.56/x
  3. Step 3: Cross multiply
    12,749.52x = 17,593.14 × 7,714.56
  4. Step 4: Simplify right side
    12,749.52x = 135,723,334.12
  5. Step 5: Solve for x
    x = 135,723,334.12/12,749.52
  6. Step 6: Final answer
    x = 10,645.37

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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.