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Finding the Fourth Proportional to 14,304, 19,740.33 and 8,016.78

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Solution

The fourth proportional to 14,304, 19,740.33 and 8,016.78 is: 11,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 19,740.33 = 8,016.78 : x
  2. Step 2: Convert to fraction form
    14,304/19,740.33 = 8,016.78/x
  3. Step 3: Cross multiply
    14,304x = 19,740.33 × 8,016.78
  4. Step 4: Simplify right side
    14,304x = 158,253,882.74
  5. Step 5: Solve for x
    x = 158,253,882.74/14,304
  6. Step 6: Final answer
    x = 11,063.61

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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.