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Finding the Fourth Proportional to 24,284.67, 36,448.70 and 12,446.49

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Solution

The fourth proportional to 24,284.67, 36,448.70 and 12,446.49 is: 18,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.67 : 36,448.70 = 12,446.49 : x
  2. Step 2: Convert to fraction form
    24,284.67/36,448.70 = 12,446.49/x
  3. Step 3: Cross multiply
    24,284.67x = 36,448.70 × 12,446.49
  4. Step 4: Simplify right side
    24,284.67x = 453,658,317.83
  5. Step 5: Solve for x
    x = 453,658,317.83/24,284.67
  6. Step 6: Final answer
    x = 18,680.85

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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.