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Finding the Fourth Proportional to 17,334.38, 23,921.36 and 9,780.70

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Solution

The fourth proportional to 17,334.38, 23,921.36 and 9,780.70 is: 13,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.38 : 23,921.36 = 9,780.70 : x
  2. Step 2: Convert to fraction form
    17,334.38/23,921.36 = 9,780.70/x
  3. Step 3: Cross multiply
    17,334.38x = 23,921.36 × 9,780.70
  4. Step 4: Simplify right side
    17,334.38x = 233,967,645.75
  5. Step 5: Solve for x
    x = 233,967,645.75/17,334.38
  6. Step 6: Final answer
    x = 13,497.32

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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.