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Finding the Fourth Proportional to 13,874.22, 20,808.14 and 4,011.30

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Solution

The fourth proportional to 13,874.22, 20,808.14 and 4,011.30 is: 6,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.22 : 20,808.14 = 4,011.30 : x
  2. Step 2: Convert to fraction form
    13,874.22/20,808.14 = 4,011.30/x
  3. Step 3: Cross multiply
    13,874.22x = 20,808.14 × 4,011.30
  4. Step 4: Simplify right side
    13,874.22x = 83,467,671.93
  5. Step 5: Solve for x
    x = 83,467,671.93/13,874.22
  6. Step 6: Final answer
    x = 6,016.03

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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.