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Finding the Fourth Proportional to 14,686.68, 22,016.82 and 5,324.44

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Solution

The fourth proportional to 14,686.68, 22,016.82 and 5,324.44 is: 7,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.68 : 22,016.82 = 5,324.44 : x
  2. Step 2: Convert to fraction form
    14,686.68/22,016.82 = 5,324.44/x
  3. Step 3: Cross multiply
    14,686.68x = 22,016.82 × 5,324.44
  4. Step 4: Simplify right side
    14,686.68x = 117,227,237.08
  5. Step 5: Solve for x
    x = 117,227,237.08/14,686.68
  6. Step 6: Final answer
    x = 7,981.87

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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.