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Finding the Fourth Proportional to 12,371.60, 17,057.76 and 8,597.90

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Solution

The fourth proportional to 12,371.60, 17,057.76 and 8,597.90 is: 11,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.60 : 17,057.76 = 8,597.90 : x
  2. Step 2: Convert to fraction form
    12,371.60/17,057.76 = 8,597.90/x
  3. Step 3: Cross multiply
    12,371.60x = 17,057.76 × 8,597.90
  4. Step 4: Simplify right side
    12,371.60x = 146,660,829.42
  5. Step 5: Solve for x
    x = 146,660,829.42/12,371.60
  6. Step 6: Final answer
    x = 11,854.64

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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.