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Finding the Fourth Proportional to 24,142.54, 36,212.22 and 8,343.89

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Solution

The fourth proportional to 24,142.54, 36,212.22 and 8,343.89 is: 12,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.54 : 36,212.22 = 8,343.89 : x
  2. Step 2: Convert to fraction form
    24,142.54/36,212.22 = 8,343.89/x
  3. Step 3: Cross multiply
    24,142.54x = 36,212.22 × 8,343.89
  4. Step 4: Simplify right side
    24,142.54x = 302,150,870.87
  5. Step 5: Solve for x
    x = 302,150,870.87/24,142.54
  6. Step 6: Final answer
    x = 12,515.29

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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.