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Finding the Fourth Proportional to 13,696.76, 20,545.14 and 5,494.52

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Solution

The fourth proportional to 13,696.76, 20,545.14 and 5,494.52 is: 8,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.76 : 20,545.14 = 5,494.52 : x
  2. Step 2: Convert to fraction form
    13,696.76/20,545.14 = 5,494.52/x
  3. Step 3: Cross multiply
    13,696.76x = 20,545.14 × 5,494.52
  4. Step 4: Simplify right side
    13,696.76x = 112,885,682.63
  5. Step 5: Solve for x
    x = 112,885,682.63/13,696.76
  6. Step 6: Final answer
    x = 8,241.78

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Why These Related Problems?

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