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Finding the Fourth Proportional to 24,222, 36,335.22 and 8,429.84

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Solution

The fourth proportional to 24,222, 36,335.22 and 8,429.84 is: 12,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 36,335.22 = 8,429.84 : x
  2. Step 2: Convert to fraction form
    24,222/36,335.22 = 8,429.84/x
  3. Step 3: Cross multiply
    24,222x = 36,335.22 × 8,429.84
  4. Step 4: Simplify right side
    24,222x = 306,300,090.96
  5. Step 5: Solve for x
    x = 306,300,090.96/24,222
  6. Step 6: Final answer
    x = 12,645.53

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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.