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Finding the Fourth Proportional to 24,231.66, 36,348.85 and 8,649.28

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Solution

The fourth proportional to 24,231.66, 36,348.85 and 8,649.28 is: 12,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.66 : 36,348.85 = 8,649.28 : x
  2. Step 2: Convert to fraction form
    24,231.66/36,348.85 = 8,649.28/x
  3. Step 3: Cross multiply
    24,231.66x = 36,348.85 × 8,649.28
  4. Step 4: Simplify right side
    24,231.66x = 314,391,437.58
  5. Step 5: Solve for x
    x = 314,391,437.58/24,231.66
  6. Step 6: Final answer
    x = 12,974.41

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1.5x scale

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.