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Finding the Fourth Proportional to 20,691.75, 31,057.05 and 10,838.10

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Solution

The fourth proportional to 20,691.75, 31,057.05 and 10,838.10 is: 16,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.75 : 31,057.05 = 10,838.10 : x
  2. Step 2: Convert to fraction form
    20,691.75/31,057.05 = 10,838.10/x
  3. Step 3: Cross multiply
    20,691.75x = 31,057.05 × 10,838.10
  4. Step 4: Simplify right side
    20,691.75x = 336,599,413.61
  5. Step 5: Solve for x
    x = 336,599,413.61/20,691.75
  6. Step 6: Final answer
    x = 16,267.32

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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.