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Finding the Fourth Proportional to 12,677.32, 17,499.90 and 8,657.44

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Solution

The fourth proportional to 12,677.32, 17,499.90 and 8,657.44 is: 11,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.32 : 17,499.90 = 8,657.44 : x
  2. Step 2: Convert to fraction form
    12,677.32/17,499.90 = 8,657.44/x
  3. Step 3: Cross multiply
    12,677.32x = 17,499.90 × 8,657.44
  4. Step 4: Simplify right side
    12,677.32x = 151,504,334.26
  5. Step 5: Solve for x
    x = 151,504,334.26/12,677.32
  6. Step 6: Final answer
    x = 11,950.82

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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.