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Finding the Fourth Proportional to 18,230.88, 25,158.62 and 9,847.38

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Solution

The fourth proportional to 18,230.88, 25,158.62 and 9,847.38 is: 13,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.88 : 25,158.62 = 9,847.38 : x
  2. Step 2: Convert to fraction form
    18,230.88/25,158.62 = 9,847.38/x
  3. Step 3: Cross multiply
    18,230.88x = 25,158.62 × 9,847.38
  4. Step 4: Simplify right side
    18,230.88x = 247,746,491.42
  5. Step 5: Solve for x
    x = 247,746,491.42/18,230.88
  6. Step 6: Final answer
    x = 13,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.