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Finding the Fourth Proportional to 24,563.20, 36,859.20 and 8,982.40

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Solution

The fourth proportional to 24,563.20, 36,859.20 and 8,982.40 is: 13,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.20 : 36,859.20 = 8,982.40 : x
  2. Step 2: Convert to fraction form
    24,563.20/36,859.20 = 8,982.40/x
  3. Step 3: Cross multiply
    24,563.20x = 36,859.20 × 8,982.40
  4. Step 4: Simplify right side
    24,563.20x = 331,084,078.08
  5. Step 5: Solve for x
    x = 331,084,078.08/24,563.20
  6. Step 6: Final answer
    x = 13,478.87

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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.