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Finding the Fourth Proportional to 12,275.76, 18,428.64 and 8,102.64

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Solution

The fourth proportional to 12,275.76, 18,428.64 and 8,102.64 is: 12,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.76 : 18,428.64 = 8,102.64 : x
  2. Step 2: Convert to fraction form
    12,275.76/18,428.64 = 8,102.64/x
  3. Step 3: Cross multiply
    12,275.76x = 18,428.64 × 8,102.64
  4. Step 4: Simplify right side
    12,275.76x = 149,320,635.61
  5. Step 5: Solve for x
    x = 149,320,635.61/12,275.76
  6. Step 6: Final answer
    x = 12,163.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.