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Finding the Fourth Proportional to 24,387.50, 36,581.34 and 5,919.50

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Solution

The fourth proportional to 24,387.50, 36,581.34 and 5,919.50 is: 8,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.50 : 36,581.34 = 5,919.50 : x
  2. Step 2: Convert to fraction form
    24,387.50/36,581.34 = 5,919.50/x
  3. Step 3: Cross multiply
    24,387.50x = 36,581.34 × 5,919.50
  4. Step 4: Simplify right side
    24,387.50x = 216,543,242.13
  5. Step 5: Solve for x
    x = 216,543,242.13/24,387.50
  6. Step 6: Final answer
    x = 8,879.27

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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.