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Finding the Fourth Proportional to 20,900.16, 31,350.96 and 6,860.16

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Solution

The fourth proportional to 20,900.16, 31,350.96 and 6,860.16 is: 10,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.16 : 31,350.96 = 6,860.16 : x
  2. Step 2: Convert to fraction form
    20,900.16/31,350.96 = 6,860.16/x
  3. Step 3: Cross multiply
    20,900.16x = 31,350.96 × 6,860.16
  4. Step 4: Simplify right side
    20,900.16x = 215,072,601.75
  5. Step 5: Solve for x
    x = 215,072,601.75/20,900.16
  6. Step 6: Final answer
    x = 10,290.48

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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.