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Finding the Fourth Proportional to 20,887, 31,327.47 and 6,091.96

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Solution

The fourth proportional to 20,887, 31,327.47 and 6,091.96 is: 9,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887 : 31,327.47 = 6,091.96 : x
  2. Step 2: Convert to fraction form
    20,887/31,327.47 = 6,091.96/x
  3. Step 3: Cross multiply
    20,887x = 31,327.47 × 6,091.96
  4. Step 4: Simplify right side
    20,887x = 190,845,694.14
  5. Step 5: Solve for x
    x = 190,845,694.14/20,887
  6. Step 6: Final answer
    x = 9,137.06

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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.