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Finding the Fourth Proportional to 13,378.88, 20,081.28 and 6,458.24

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Solution

The fourth proportional to 13,378.88, 20,081.28 and 6,458.24 is: 9,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.88 : 20,081.28 = 6,458.24 : x
  2. Step 2: Convert to fraction form
    13,378.88/20,081.28 = 6,458.24/x
  3. Step 3: Cross multiply
    13,378.88x = 20,081.28 × 6,458.24
  4. Step 4: Simplify right side
    13,378.88x = 129,689,725.75
  5. Step 5: Solve for x
    x = 129,689,725.75/13,378.88
  6. Step 6: Final answer
    x = 9,693.62

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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.