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Finding the Fourth Proportional to 20,974.10, 31,483 and 9,295.52

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Solution

The fourth proportional to 20,974.10, 31,483 and 9,295.52 is: 13,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.10 : 31,483 = 9,295.52 : x
  2. Step 2: Convert to fraction form
    20,974.10/31,483 = 9,295.52/x
  3. Step 3: Cross multiply
    20,974.10x = 31,483 × 9,295.52
  4. Step 4: Simplify right side
    20,974.10x = 292,650,856.16
  5. Step 5: Solve for x
    x = 292,650,856.16/20,974.10
  6. Step 6: Final answer
    x = 13,952.96

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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.