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Finding the Fourth Proportional to 13,974.32, 20,964.05 and 4,614.97

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Solution

The fourth proportional to 13,974.32, 20,964.05 and 4,614.97 is: 6,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.32 : 20,964.05 = 4,614.97 : x
  2. Step 2: Convert to fraction form
    13,974.32/20,964.05 = 4,614.97/x
  3. Step 3: Cross multiply
    13,974.32x = 20,964.05 × 4,614.97
  4. Step 4: Simplify right side
    13,974.32x = 96,748,461.83
  5. Step 5: Solve for x
    x = 96,748,461.83/13,974.32
  6. Step 6: Final answer
    x = 6,923.30

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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.