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Finding the Fourth Proportional to 20,865.92, 31,277 and 9,763.26

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Solution

The fourth proportional to 20,865.92, 31,277 and 9,763.26 is: 14,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.92 : 31,277 = 9,763.26 : x
  2. Step 2: Convert to fraction form
    20,865.92/31,277 = 9,763.26/x
  3. Step 3: Cross multiply
    20,865.92x = 31,277 × 9,763.26
  4. Step 4: Simplify right side
    20,865.92x = 305,365,483.02
  5. Step 5: Solve for x
    x = 305,365,483.02/20,865.92
  6. Step 6: Final answer
    x = 14,634.65

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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.