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Finding the Fourth Proportional to 24,378.52, 36,570.82 and 8,579.82

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Solution

The fourth proportional to 24,378.52, 36,570.82 and 8,579.82 is: 12,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.52 : 36,570.82 = 8,579.82 : x
  2. Step 2: Convert to fraction form
    24,378.52/36,570.82 = 8,579.82/x
  3. Step 3: Cross multiply
    24,378.52x = 36,570.82 × 8,579.82
  4. Step 4: Simplify right side
    24,378.52x = 313,771,052.85
  5. Step 5: Solve for x
    x = 313,771,052.85/24,378.52
  6. Step 6: Final answer
    x = 12,870.80

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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.