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Finding the Fourth Proportional to 13,471.44, 20,209.86 and 4,704

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Solution

The fourth proportional to 13,471.44, 20,209.86 and 4,704 is: 7,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.44 : 20,209.86 = 4,704 : x
  2. Step 2: Convert to fraction form
    13,471.44/20,209.86 = 4,704/x
  3. Step 3: Cross multiply
    13,471.44x = 20,209.86 × 4,704
  4. Step 4: Simplify right side
    13,471.44x = 95,067,181.44
  5. Step 5: Solve for x
    x = 95,067,181.44/13,471.44
  6. Step 6: Final answer
    x = 7,056.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.