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Finding the Fourth Proportional to 17,738.31, 24,478.97 and 9,780.40

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Solution

The fourth proportional to 17,738.31, 24,478.97 and 9,780.40 is: 13,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.31 : 24,478.97 = 9,780.40 : x
  2. Step 2: Convert to fraction form
    17,738.31/24,478.97 = 9,780.40/x
  3. Step 3: Cross multiply
    17,738.31x = 24,478.97 × 9,780.40
  4. Step 4: Simplify right side
    17,738.31x = 239,414,118.19
  5. Step 5: Solve for x
    x = 239,414,118.19/17,738.31
  6. Step 6: Final answer
    x = 13,497.01

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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.