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Finding the Fourth Proportional to 20,850.95, 31,272.31 and 9,754.66

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Solution

The fourth proportional to 20,850.95, 31,272.31 and 9,754.66 is: 14,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.95 : 31,272.31 = 9,754.66 : x
  2. Step 2: Convert to fraction form
    20,850.95/31,272.31 = 9,754.66/x
  3. Step 3: Cross multiply
    20,850.95x = 31,272.31 × 9,754.66
  4. Step 4: Simplify right side
    20,850.95x = 305,050,802.75
  5. Step 5: Solve for x
    x = 305,050,802.75/20,850.95
  6. Step 6: Final answer
    x = 14,630.07

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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.