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Finding the Fourth Proportional to 13,920.19, 20,882.68 and 4,557.56

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Solution

The fourth proportional to 13,920.19, 20,882.68 and 4,557.56 is: 6,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.19 : 20,882.68 = 4,557.56 : x
  2. Step 2: Convert to fraction form
    13,920.19/20,882.68 = 4,557.56/x
  3. Step 3: Cross multiply
    13,920.19x = 20,882.68 × 4,557.56
  4. Step 4: Simplify right side
    13,920.19x = 95,173,951.25
  5. Step 5: Solve for x
    x = 95,173,951.25/13,920.19
  6. Step 6: Final answer
    x = 6,837.12

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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.