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Finding the Fourth Proportional to 12,186.64, 18,280.12 and 4,394.96

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Solution

The fourth proportional to 12,186.64, 18,280.12 and 4,394.96 is: 6,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.64 : 18,280.12 = 4,394.96 : x
  2. Step 2: Convert to fraction form
    12,186.64/18,280.12 = 4,394.96/x
  3. Step 3: Cross multiply
    12,186.64x = 18,280.12 × 4,394.96
  4. Step 4: Simplify right side
    12,186.64x = 80,340,396.20
  5. Step 5: Solve for x
    x = 80,340,396.20/12,186.64
  6. Step 6: Final answer
    x = 6,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.