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Finding the Fourth Proportional to 13,808.80, 20,713.92 and 3,949.53

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Solution

The fourth proportional to 13,808.80, 20,713.92 and 3,949.53 is: 5,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.80 : 20,713.92 = 3,949.53 : x
  2. Step 2: Convert to fraction form
    13,808.80/20,713.92 = 3,949.53/x
  3. Step 3: Cross multiply
    13,808.80x = 20,713.92 × 3,949.53
  4. Step 4: Simplify right side
    13,808.80x = 81,810,248.46
  5. Step 5: Solve for x
    x = 81,810,248.46/13,808.80
  6. Step 6: Final answer
    x = 5,924.50

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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.