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Finding the Fourth Proportional to 13,378.62, 20,068.10 and 5,062.55

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Solution

The fourth proportional to 13,378.62, 20,068.10 and 5,062.55 is: 7,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.62 : 20,068.10 = 5,062.55 : x
  2. Step 2: Convert to fraction form
    13,378.62/20,068.10 = 5,062.55/x
  3. Step 3: Cross multiply
    13,378.62x = 20,068.10 × 5,062.55
  4. Step 4: Simplify right side
    13,378.62x = 101,595,728.24
  5. Step 5: Solve for x
    x = 101,595,728.24/13,378.62
  6. Step 6: Final answer
    x = 7,593.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.