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Finding the Fourth Proportional to 24,209.79, 36,320.52 and 8,412.52

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Solution

The fourth proportional to 24,209.79, 36,320.52 and 8,412.52 is: 12,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.79 : 36,320.52 = 8,412.52 : x
  2. Step 2: Convert to fraction form
    24,209.79/36,320.52 = 8,412.52/x
  3. Step 3: Cross multiply
    24,209.79x = 36,320.52 × 8,412.52
  4. Step 4: Simplify right side
    24,209.79x = 305,546,877.25
  5. Step 5: Solve for x
    x = 305,546,877.25/24,209.79
  6. Step 6: Final answer
    x = 12,620.80

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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.