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Finding the Fourth Proportional to 13,964.10, 20,946.15 and 8,132.10

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Solution

The fourth proportional to 13,964.10, 20,946.15 and 8,132.10 is: 12,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.10 : 20,946.15 = 8,132.10 : x
  2. Step 2: Convert to fraction form
    13,964.10/20,946.15 = 8,132.10/x
  3. Step 3: Cross multiply
    13,964.10x = 20,946.15 × 8,132.10
  4. Step 4: Simplify right side
    13,964.10x = 170,336,186.42
  5. Step 5: Solve for x
    x = 170,336,186.42/13,964.10
  6. Step 6: Final answer
    x = 12,198.15

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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.