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Finding the Fourth Proportional to 24,378.65, 36,567.97 and 8,579.96

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Solution

The fourth proportional to 24,378.65, 36,567.97 and 8,579.96 is: 12,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.65 : 36,567.97 = 8,579.96 : x
  2. Step 2: Convert to fraction form
    24,378.65/36,567.97 = 8,579.96/x
  3. Step 3: Cross multiply
    24,378.65x = 36,567.97 × 8,579.96
  4. Step 4: Simplify right side
    24,378.65x = 313,751,649.91
  5. Step 5: Solve for x
    x = 313,751,649.91/24,378.65
  6. Step 6: Final answer
    x = 12,869.94

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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.