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Finding the Fourth Proportional to 24,863.82, 37,290.32 and 8,219.92

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Solution

The fourth proportional to 24,863.82, 37,290.32 and 8,219.92 is: 12,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863.82 : 37,290.32 = 8,219.92 : x
  2. Step 2: Convert to fraction form
    24,863.82/37,290.32 = 8,219.92/x
  3. Step 3: Cross multiply
    24,863.82x = 37,290.32 × 8,219.92
  4. Step 4: Simplify right side
    24,863.82x = 306,523,447.17
  5. Step 5: Solve for x
    x = 306,523,447.17/24,863.82
  6. Step 6: Final answer
    x = 12,328.09

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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.