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Finding the Fourth Proportional to 15,349.20, 22,993.67 and 7,958.55

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Solution

The fourth proportional to 15,349.20, 22,993.67 and 7,958.55 is: 11,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.20 : 22,993.67 = 7,958.55 : x
  2. Step 2: Convert to fraction form
    15,349.20/22,993.67 = 7,958.55/x
  3. Step 3: Cross multiply
    15,349.20x = 22,993.67 × 7,958.55
  4. Step 4: Simplify right side
    15,349.20x = 182,996,378.50
  5. Step 5: Solve for x
    x = 182,996,378.50/15,349.20
  6. Step 6: Final answer
    x = 11,922.21

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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.