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Finding the Fourth Proportional to 22,342.38, 33,505.47 and 8,299.14

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Solution

The fourth proportional to 22,342.38, 33,505.47 and 8,299.14 is: 12,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.38 : 33,505.47 = 8,299.14 : x
  2. Step 2: Convert to fraction form
    22,342.38/33,505.47 = 8,299.14/x
  3. Step 3: Cross multiply
    22,342.38x = 33,505.47 × 8,299.14
  4. Step 4: Simplify right side
    22,342.38x = 278,066,586.30
  5. Step 5: Solve for x
    x = 278,066,586.30/22,342.38
  6. Step 6: Final answer
    x = 12,445.70

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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.