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Finding the Fourth Proportional to 14,711.98, 20,286.04 and 13,778.86

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Solution

The fourth proportional to 14,711.98, 20,286.04 and 13,778.86 is: 18,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.98 : 20,286.04 = 13,778.86 : x
  2. Step 2: Convert to fraction form
    14,711.98/20,286.04 = 13,778.86/x
  3. Step 3: Cross multiply
    14,711.98x = 20,286.04 × 13,778.86
  4. Step 4: Simplify right side
    14,711.98x = 279,518,505.11
  5. Step 5: Solve for x
    x = 279,518,505.11/14,711.98
  6. Step 6: Final answer
    x = 18,999.38

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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.