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Finding the Fourth Proportional to 13,727.52, 18,944.28 and 8,419.20

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Solution

The fourth proportional to 13,727.52, 18,944.28 and 8,419.20 is: 11,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.52 : 18,944.28 = 8,419.20 : x
  2. Step 2: Convert to fraction form
    13,727.52/18,944.28 = 8,419.20/x
  3. Step 3: Cross multiply
    13,727.52x = 18,944.28 × 8,419.20
  4. Step 4: Simplify right side
    13,727.52x = 159,495,682.18
  5. Step 5: Solve for x
    x = 159,495,682.18/13,727.52
  6. Step 6: Final answer
    x = 11,618.68

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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.