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Finding the Fourth Proportional to 24,363.62, 36,546.46 and 7,723.30

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Solution

The fourth proportional to 24,363.62, 36,546.46 and 7,723.30 is: 11,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.62 : 36,546.46 = 7,723.30 : x
  2. Step 2: Convert to fraction form
    24,363.62/36,546.46 = 7,723.30/x
  3. Step 3: Cross multiply
    24,363.62x = 36,546.46 × 7,723.30
  4. Step 4: Simplify right side
    24,363.62x = 282,259,274.52
  5. Step 5: Solve for x
    x = 282,259,274.52/24,363.62
  6. Step 6: Final answer
    x = 11,585.28

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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.