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Finding the Fourth Proportional to 22,011.72, 32,998.14 and 8,151.72

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Solution

The fourth proportional to 22,011.72, 32,998.14 and 8,151.72 is: 12,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.72 : 32,998.14 = 8,151.72 : x
  2. Step 2: Convert to fraction form
    22,011.72/32,998.14 = 8,151.72/x
  3. Step 3: Cross multiply
    22,011.72x = 32,998.14 × 8,151.72
  4. Step 4: Simplify right side
    22,011.72x = 268,991,597.80
  5. Step 5: Solve for x
    x = 268,991,597.80/22,011.72
  6. Step 6: Final answer
    x = 12,220.38

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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.