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Finding the Fourth Proportional to 24,899.76, 37,335.24 and 8,255.34

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Solution

The fourth proportional to 24,899.76, 37,335.24 and 8,255.34 is: 12,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899.76 : 37,335.24 = 8,255.34 : x
  2. Step 2: Convert to fraction form
    24,899.76/37,335.24 = 8,255.34/x
  3. Step 3: Cross multiply
    24,899.76x = 37,335.24 × 8,255.34
  4. Step 4: Simplify right side
    24,899.76x = 308,215,100.18
  5. Step 5: Solve for x
    x = 308,215,100.18/24,899.76
  6. Step 6: Final answer
    x = 12,378.24

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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.