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Finding the Fourth Proportional to 12,717.60, 17,545.44 and 8,239.76

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Solution

The fourth proportional to 12,717.60, 17,545.44 and 8,239.76 is: 11,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.60 : 17,545.44 = 8,239.76 : x
  2. Step 2: Convert to fraction form
    12,717.60/17,545.44 = 8,239.76/x
  3. Step 3: Cross multiply
    12,717.60x = 17,545.44 × 8,239.76
  4. Step 4: Simplify right side
    12,717.60x = 144,570,214.69
  5. Step 5: Solve for x
    x = 144,570,214.69/12,717.60
  6. Step 6: Final answer
    x = 11,367.73

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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.