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Finding the Fourth Proportional to 20,334.38, 30,478.14 and 7,848.86

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Solution

The fourth proportional to 20,334.38, 30,478.14 and 7,848.86 is: 11,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334.38 : 30,478.14 = 7,848.86 : x
  2. Step 2: Convert to fraction form
    20,334.38/30,478.14 = 7,848.86/x
  3. Step 3: Cross multiply
    20,334.38x = 30,478.14 × 7,848.86
  4. Step 4: Simplify right side
    20,334.38x = 239,218,501.53
  5. Step 5: Solve for x
    x = 239,218,501.53/20,334.38
  6. Step 6: Final answer
    x = 11,764.24

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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.