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Finding the Fourth Proportional to 13,874.14, 20,810.04 and 5,976.34

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Solution

The fourth proportional to 13,874.14, 20,810.04 and 5,976.34 is: 8,964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.14 : 20,810.04 = 5,976.34 : x
  2. Step 2: Convert to fraction form
    13,874.14/20,810.04 = 5,976.34/x
  3. Step 3: Cross multiply
    13,874.14x = 20,810.04 × 5,976.34
  4. Step 4: Simplify right side
    13,874.14x = 124,367,874.45
  5. Step 5: Solve for x
    x = 124,367,874.45/13,874.14
  6. Step 6: Final answer
    x = 8,964.01

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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.