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Finding the Fourth Proportional to 24,010.68, 36,020.24 and 8,212

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Solution

The fourth proportional to 24,010.68, 36,020.24 and 8,212 is: 12,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.68 : 36,020.24 = 8,212 : x
  2. Step 2: Convert to fraction form
    24,010.68/36,020.24 = 8,212/x
  3. Step 3: Cross multiply
    24,010.68x = 36,020.24 × 8,212
  4. Step 4: Simplify right side
    24,010.68x = 295,798,210.88
  5. Step 5: Solve for x
    x = 295,798,210.88/24,010.68
  6. Step 6: Final answer
    x = 12,319.44

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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.