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Finding the Fourth Proportional to 13,911.32, 20,847.48 and 6,498.20

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Solution

The fourth proportional to 13,911.32, 20,847.48 and 6,498.20 is: 9,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.32 : 20,847.48 = 6,498.20 : x
  2. Step 2: Convert to fraction form
    13,911.32/20,847.48 = 6,498.20/x
  3. Step 3: Cross multiply
    13,911.32x = 20,847.48 × 6,498.20
  4. Step 4: Simplify right side
    13,911.32x = 135,471,094.54
  5. Step 5: Solve for x
    x = 135,471,094.54/13,911.32
  6. Step 6: Final answer
    x = 9,738.19

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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.