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Finding the Fourth Proportional to 20,850.30, 31,264.65 and 7,695.90

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Solution

The fourth proportional to 20,850.30, 31,264.65 and 7,695.90 is: 11,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.30 : 31,264.65 = 7,695.90 : x
  2. Step 2: Convert to fraction form
    20,850.30/31,264.65 = 7,695.90/x
  3. Step 3: Cross multiply
    20,850.30x = 31,264.65 × 7,695.90
  4. Step 4: Simplify right side
    20,850.30x = 240,609,619.94
  5. Step 5: Solve for x
    x = 240,609,619.94/20,850.30
  6. Step 6: Final answer
    x = 11,539.86

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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.