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Finding the Fourth Proportional to 13,948.48, 20,932.80 and 8,099.20

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Solution

The fourth proportional to 13,948.48, 20,932.80 and 8,099.20 is: 12,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.48 : 20,932.80 = 8,099.20 : x
  2. Step 2: Convert to fraction form
    13,948.48/20,932.80 = 8,099.20/x
  3. Step 3: Cross multiply
    13,948.48x = 20,932.80 × 8,099.20
  4. Step 4: Simplify right side
    13,948.48x = 169,538,933.76
  5. Step 5: Solve for x
    x = 169,538,933.76/13,948.48
  6. Step 6: Final answer
    x = 12,154.65

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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.