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Finding the Fourth Proportional to 20,696.92, 31,045.07 and 5,114.54

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Solution

The fourth proportional to 20,696.92, 31,045.07 and 5,114.54 is: 7,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.92 : 31,045.07 = 5,114.54 : x
  2. Step 2: Convert to fraction form
    20,696.92/31,045.07 = 5,114.54/x
  3. Step 3: Cross multiply
    20,696.92x = 31,045.07 × 5,114.54
  4. Step 4: Simplify right side
    20,696.92x = 158,781,342.72
  5. Step 5: Solve for x
    x = 158,781,342.72/20,696.92
  6. Step 6: Final answer
    x = 7,671.74

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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.