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Finding the Fourth Proportional to 12,363.64, 18,540.60 and 4,966.12

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Solution

The fourth proportional to 12,363.64, 18,540.60 and 4,966.12 is: 7,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.64 : 18,540.60 = 4,966.12 : x
  2. Step 2: Convert to fraction form
    12,363.64/18,540.60 = 4,966.12/x
  3. Step 3: Cross multiply
    12,363.64x = 18,540.60 × 4,966.12
  4. Step 4: Simplify right side
    12,363.64x = 92,074,844.47
  5. Step 5: Solve for x
    x = 92,074,844.47/12,363.64
  6. Step 6: Final answer
    x = 7,447.23

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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.