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Finding the Fourth Proportional to 20,210.88, 30,310.56 and 7,896

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Solution

The fourth proportional to 20,210.88, 30,310.56 and 7,896 is: 11,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.88 : 30,310.56 = 7,896 : x
  2. Step 2: Convert to fraction form
    20,210.88/30,310.56 = 7,896/x
  3. Step 3: Cross multiply
    20,210.88x = 30,310.56 × 7,896
  4. Step 4: Simplify right side
    20,210.88x = 239,332,181.76
  5. Step 5: Solve for x
    x = 239,332,181.76/20,210.88
  6. Step 6: Final answer
    x = 11,841.75

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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.