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Finding the Fourth Proportional to 20,856.14, 31,280.97 and 6,062

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Solution

The fourth proportional to 20,856.14, 31,280.97 and 6,062 is: 9,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.14 : 31,280.97 = 6,062 : x
  2. Step 2: Convert to fraction form
    20,856.14/31,280.97 = 6,062/x
  3. Step 3: Cross multiply
    20,856.14x = 31,280.97 × 6,062
  4. Step 4: Simplify right side
    20,856.14x = 189,625,240.14
  5. Step 5: Solve for x
    x = 189,625,240.14/20,856.14
  6. Step 6: Final answer
    x = 9,092.06

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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.