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Finding the Fourth Proportional to 14,780.43, 20,393.30 and 9,482.42

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Solution

The fourth proportional to 14,780.43, 20,393.30 and 9,482.42 is: 13,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.43 : 20,393.30 = 9,482.42 : x
  2. Step 2: Convert to fraction form
    14,780.43/20,393.30 = 9,482.42/x
  3. Step 3: Cross multiply
    14,780.43x = 20,393.30 × 9,482.42
  4. Step 4: Simplify right side
    14,780.43x = 193,377,910.48
  5. Step 5: Solve for x
    x = 193,377,910.48/14,780.43
  6. Step 6: Final answer
    x = 13,083.38

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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.