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Finding the Fourth Proportional to 12,414.93, 17,132.56 and 6,749.67

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Solution

The fourth proportional to 12,414.93, 17,132.56 and 6,749.67 is: 9,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.93 : 17,132.56 = 6,749.67 : x
  2. Step 2: Convert to fraction form
    12,414.93/17,132.56 = 6,749.67/x
  3. Step 3: Cross multiply
    12,414.93x = 17,132.56 × 6,749.67
  4. Step 4: Simplify right side
    12,414.93x = 115,639,126.26
  5. Step 5: Solve for x
    x = 115,639,126.26/12,414.93
  6. Step 6: Final answer
    x = 9,314.52

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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.