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Finding the Fourth Proportional to 13,853.46, 20,780.19 and 3,465.21

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Solution

The fourth proportional to 13,853.46, 20,780.19 and 3,465.21 is: 5,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.46 : 20,780.19 = 3,465.21 : x
  2. Step 2: Convert to fraction form
    13,853.46/20,780.19 = 3,465.21/x
  3. Step 3: Cross multiply
    13,853.46x = 20,780.19 × 3,465.21
  4. Step 4: Simplify right side
    13,853.46x = 72,007,722.19
  5. Step 5: Solve for x
    x = 72,007,722.19/13,853.46
  6. Step 6: Final answer
    x = 5,197.82

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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.