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Finding the Fourth Proportional to 20,486.25, 30,715.77 and 8,007.48

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Solution

The fourth proportional to 20,486.25, 30,715.77 and 8,007.48 is: 12,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.25 : 30,715.77 = 8,007.48 : x
  2. Step 2: Convert to fraction form
    20,486.25/30,715.77 = 8,007.48/x
  3. Step 3: Cross multiply
    20,486.25x = 30,715.77 × 8,007.48
  4. Step 4: Simplify right side
    20,486.25x = 245,955,913.96
  5. Step 5: Solve for x
    x = 245,955,913.96/20,486.25
  6. Step 6: Final answer
    x = 12,005.90

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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.