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Finding the Fourth Proportional to 20,454.92, 30,682.28 and 5,663.74

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Solution

The fourth proportional to 20,454.92, 30,682.28 and 5,663.74 is: 8,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.92 : 30,682.28 = 5,663.74 : x
  2. Step 2: Convert to fraction form
    20,454.92/30,682.28 = 5,663.74/x
  3. Step 3: Cross multiply
    20,454.92x = 30,682.28 × 5,663.74
  4. Step 4: Simplify right side
    20,454.92x = 173,776,456.53
  5. Step 5: Solve for x
    x = 173,776,456.53/20,454.92
  6. Step 6: Final answer
    x = 8,495.58

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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.