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Finding the Fourth Proportional to 14,419.54, 21,627.15 and 5,660.47

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Solution

The fourth proportional to 14,419.54, 21,627.15 and 5,660.47 is: 8,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.54 : 21,627.15 = 5,660.47 : x
  2. Step 2: Convert to fraction form
    14,419.54/21,627.15 = 5,660.47/x
  3. Step 3: Cross multiply
    14,419.54x = 21,627.15 × 5,660.47
  4. Step 4: Simplify right side
    14,419.54x = 122,419,833.76
  5. Step 5: Solve for x
    x = 122,419,833.76/14,419.54
  6. Step 6: Final answer
    x = 8,489.86

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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.