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Finding the Fourth Proportional to 24,023.66, 36,010.41 and 8,224.03

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Solution

The fourth proportional to 24,023.66, 36,010.41 and 8,224.03 is: 12,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.66 : 36,010.41 = 8,224.03 : x
  2. Step 2: Convert to fraction form
    24,023.66/36,010.41 = 8,224.03/x
  3. Step 3: Cross multiply
    24,023.66x = 36,010.41 × 8,224.03
  4. Step 4: Simplify right side
    24,023.66x = 296,150,706.33
  5. Step 5: Solve for x
    x = 296,150,706.33/24,023.66
  6. Step 6: Final answer
    x = 12,327.46

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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.