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Finding the Fourth Proportional to 12,427.52, 17,142.72 and 8,401.28

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Solution

The fourth proportional to 12,427.52, 17,142.72 and 8,401.28 is: 11,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.52 : 17,142.72 = 8,401.28 : x
  2. Step 2: Convert to fraction form
    12,427.52/17,142.72 = 8,401.28/x
  3. Step 3: Cross multiply
    12,427.52x = 17,142.72 × 8,401.28
  4. Step 4: Simplify right side
    12,427.52x = 144,020,790.68
  5. Step 5: Solve for x
    x = 144,020,790.68/12,427.52
  6. Step 6: Final answer
    x = 11,588.86

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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.