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Finding the Fourth Proportional to 20,687.65, 31,028.75 and 5,695.08

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Solution

The fourth proportional to 20,687.65, 31,028.75 and 5,695.08 is: 8,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.65 : 31,028.75 = 5,695.08 : x
  2. Step 2: Convert to fraction form
    20,687.65/31,028.75 = 5,695.08/x
  3. Step 3: Cross multiply
    20,687.65x = 31,028.75 × 5,695.08
  4. Step 4: Simplify right side
    20,687.65x = 176,711,335.86
  5. Step 5: Solve for x
    x = 176,711,335.86/20,687.65
  6. Step 6: Final answer
    x = 8,541.87

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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.