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Finding the Fourth Proportional to 14,657.98, 20,229.33 and 8,372.38

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Solution

The fourth proportional to 14,657.98, 20,229.33 and 8,372.38 is: 11,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.98 : 20,229.33 = 8,372.38 : x
  2. Step 2: Convert to fraction form
    14,657.98/20,229.33 = 8,372.38/x
  3. Step 3: Cross multiply
    14,657.98x = 20,229.33 × 8,372.38
  4. Step 4: Simplify right side
    14,657.98x = 169,367,637.91
  5. Step 5: Solve for x
    x = 169,367,637.91/14,657.98
  6. Step 6: Final answer
    x = 11,554.64

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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.