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Finding the Fourth Proportional to 24,649.60, 36,979.80 and 8,006.80

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Solution

The fourth proportional to 24,649.60, 36,979.80 and 8,006.80 is: 12,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.60 : 36,979.80 = 8,006.80 : x
  2. Step 2: Convert to fraction form
    24,649.60/36,979.80 = 8,006.80/x
  3. Step 3: Cross multiply
    24,649.60x = 36,979.80 × 8,006.80
  4. Step 4: Simplify right side
    24,649.60x = 296,089,862.64
  5. Step 5: Solve for x
    x = 296,089,862.64/24,649.60
  6. Step 6: Final answer
    x = 12,011.95

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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.