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Finding the Fourth Proportional to 14,849.80, 20,493.38 and 9,818.44

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Solution

The fourth proportional to 14,849.80, 20,493.38 and 9,818.44 is: 13,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.80 : 20,493.38 = 9,818.44 : x
  2. Step 2: Convert to fraction form
    14,849.80/20,493.38 = 9,818.44/x
  3. Step 3: Cross multiply
    14,849.80x = 20,493.38 × 9,818.44
  4. Step 4: Simplify right side
    14,849.80x = 201,213,021.93
  5. Step 5: Solve for x
    x = 201,213,021.93/14,849.80
  6. Step 6: Final answer
    x = 13,549.88

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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.