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Finding the Fourth Proportional to 12,757.76, 17,599.20 and 8,284.08

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Solution

The fourth proportional to 12,757.76, 17,599.20 and 8,284.08 is: 11,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.76 : 17,599.20 = 8,284.08 : x
  2. Step 2: Convert to fraction form
    12,757.76/17,599.20 = 8,284.08/x
  3. Step 3: Cross multiply
    12,757.76x = 17,599.20 × 8,284.08
  4. Step 4: Simplify right side
    12,757.76x = 145,793,180.74
  5. Step 5: Solve for x
    x = 145,793,180.74/12,757.76
  6. Step 6: Final answer
    x = 11,427.80

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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.