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Finding the Fourth Proportional to 20,932.96, 31,402.48 and 7,077.28

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Solution

The fourth proportional to 20,932.96, 31,402.48 and 7,077.28 is: 10,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.96 : 31,402.48 = 7,077.28 : x
  2. Step 2: Convert to fraction form
    20,932.96/31,402.48 = 7,077.28/x
  3. Step 3: Cross multiply
    20,932.96x = 31,402.48 × 7,077.28
  4. Step 4: Simplify right side
    20,932.96x = 222,244,143.65
  5. Step 5: Solve for x
    x = 222,244,143.65/20,932.96
  6. Step 6: Final answer
    x = 10,616.95

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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.