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Finding the Fourth Proportional to 24,227.83, 36,319.84 and 8,641.81

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Solution

The fourth proportional to 24,227.83, 36,319.84 and 8,641.81 is: 12,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.83 : 36,319.84 = 8,641.81 : x
  2. Step 2: Convert to fraction form
    24,227.83/36,319.84 = 8,641.81/x
  3. Step 3: Cross multiply
    24,227.83x = 36,319.84 × 8,641.81
  4. Step 4: Simplify right side
    24,227.83x = 313,869,024.62
  5. Step 5: Solve for x
    x = 313,869,024.62/24,227.83
  6. Step 6: Final answer
    x = 12,954.90

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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.