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Finding the Fourth Proportional to 20,524.38, 30,798.89 and 7,377.80

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Solution

The fourth proportional to 20,524.38, 30,798.89 and 7,377.80 is: 11,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.38 : 30,798.89 = 7,377.80 : x
  2. Step 2: Convert to fraction form
    20,524.38/30,798.89 = 7,377.80/x
  3. Step 3: Cross multiply
    20,524.38x = 30,798.89 × 7,377.80
  4. Step 4: Simplify right side
    20,524.38x = 227,227,859.76
  5. Step 5: Solve for x
    x = 227,227,859.76/20,524.38
  6. Step 6: Final answer
    x = 11,071.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.