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Finding the Fourth Proportional to 17,738.28, 24,479 and 9,780.79

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Solution

The fourth proportional to 17,738.28, 24,479 and 9,780.79 is: 13,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.28 : 24,479 = 9,780.79 : x
  2. Step 2: Convert to fraction form
    17,738.28/24,479 = 9,780.79/x
  3. Step 3: Cross multiply
    17,738.28x = 24,479 × 9,780.79
  4. Step 4: Simplify right side
    17,738.28x = 239,423,958.41
  5. Step 5: Solve for x
    x = 239,423,958.41/17,738.28
  6. Step 6: Final answer
    x = 13,497.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.