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Finding the Fourth Proportional to 22,816.80, 34,231.20 and 7,234.40

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Solution

The fourth proportional to 22,816.80, 34,231.20 and 7,234.40 is: 10,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.80 : 34,231.20 = 7,234.40 : x
  2. Step 2: Convert to fraction form
    22,816.80/34,231.20 = 7,234.40/x
  3. Step 3: Cross multiply
    22,816.80x = 34,231.20 × 7,234.40
  4. Step 4: Simplify right side
    22,816.80x = 247,642,193.28
  5. Step 5: Solve for x
    x = 247,642,193.28/22,816.80
  6. Step 6: Final answer
    x = 10,853.50

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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.