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Finding the Fourth Proportional to 20,575.38, 30,864.28 and 5,785.46

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Solution

The fourth proportional to 20,575.38, 30,864.28 and 5,785.46 is: 8,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.38 : 30,864.28 = 5,785.46 : x
  2. Step 2: Convert to fraction form
    20,575.38/30,864.28 = 5,785.46/x
  3. Step 3: Cross multiply
    20,575.38x = 30,864.28 × 5,785.46
  4. Step 4: Simplify right side
    20,575.38x = 178,564,057.37
  5. Step 5: Solve for x
    x = 178,564,057.37/20,575.38
  6. Step 6: Final answer
    x = 8,678.53

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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.