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Finding the Fourth Proportional to 20,856.72, 31,265.64 and 6,996

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Solution

The fourth proportional to 20,856.72, 31,265.64 and 6,996 is: 10,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.72 : 31,265.64 = 6,996 : x
  2. Step 2: Convert to fraction form
    20,856.72/31,265.64 = 6,996/x
  3. Step 3: Cross multiply
    20,856.72x = 31,265.64 × 6,996
  4. Step 4: Simplify right side
    20,856.72x = 218,734,417.44
  5. Step 5: Solve for x
    x = 218,734,417.44/20,856.72
  6. Step 6: Final answer
    x = 10,487.48

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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.