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Finding the Fourth Proportional to 22,922.74, 34,384.20 and 8,132.11

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Solution

The fourth proportional to 22,922.74, 34,384.20 and 8,132.11 is: 12,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.74 : 34,384.20 = 8,132.11 : x
  2. Step 2: Convert to fraction form
    22,922.74/34,384.20 = 8,132.11/x
  3. Step 3: Cross multiply
    22,922.74x = 34,384.20 × 8,132.11
  4. Step 4: Simplify right side
    22,922.74x = 279,616,096.66
  5. Step 5: Solve for x
    x = 279,616,096.66/22,922.74
  6. Step 6: Final answer
    x = 12,198.20

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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.