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Finding the Fourth Proportional to 13,766.48, 18,998.04 and 8,458.24

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Solution

The fourth proportional to 13,766.48, 18,998.04 and 8,458.24 is: 11,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.48 : 18,998.04 = 8,458.24 : x
  2. Step 2: Convert to fraction form
    13,766.48/18,998.04 = 8,458.24/x
  3. Step 3: Cross multiply
    13,766.48x = 18,998.04 × 8,458.24
  4. Step 4: Simplify right side
    13,766.48x = 160,689,981.85
  5. Step 5: Solve for x
    x = 160,689,981.85/13,766.48
  6. Step 6: Final answer
    x = 11,672.55

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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.