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Finding the Fourth Proportional to 14,781.60, 20,399.04 and 8,496

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Solution

The fourth proportional to 14,781.60, 20,399.04 and 8,496 is: 11,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.60 : 20,399.04 = 8,496 : x
  2. Step 2: Convert to fraction form
    14,781.60/20,399.04 = 8,496/x
  3. Step 3: Cross multiply
    14,781.60x = 20,399.04 × 8,496
  4. Step 4: Simplify right side
    14,781.60x = 173,310,243.84
  5. Step 5: Solve for x
    x = 173,310,243.84/14,781.60
  6. Step 6: Final answer
    x = 11,724.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.