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Finding the Fourth Proportional to 24,826.60, 37,229.10 and 8,180.20

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Solution

The fourth proportional to 24,826.60, 37,229.10 and 8,180.20 is: 12,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.60 : 37,229.10 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    24,826.60/37,229.10 = 8,180.20/x
  3. Step 3: Cross multiply
    24,826.60x = 37,229.10 × 8,180.20
  4. Step 4: Simplify right side
    24,826.60x = 304,541,483.82
  5. Step 5: Solve for x
    x = 304,541,483.82/24,826.60
  6. Step 6: Final answer
    x = 12,266.74

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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.