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Finding the Fourth Proportional to 12,515.32, 17,255.46 and 8,031.16

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Solution

The fourth proportional to 12,515.32, 17,255.46 and 8,031.16 is: 11,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.32 : 17,255.46 = 8,031.16 : x
  2. Step 2: Convert to fraction form
    12,515.32/17,255.46 = 8,031.16/x
  3. Step 3: Cross multiply
    12,515.32x = 17,255.46 × 8,031.16
  4. Step 4: Simplify right side
    12,515.32x = 138,581,360.13
  5. Step 5: Solve for x
    x = 138,581,360.13/12,515.32
  6. Step 6: Final answer
    x = 11,072.94

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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.