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Finding the Fourth Proportional to 17,331.78, 23,917.86 and 9,374

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Solution

The fourth proportional to 17,331.78, 23,917.86 and 9,374 is: 12,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,331.78 : 23,917.86 = 9,374 : x
  2. Step 2: Convert to fraction form
    17,331.78/23,917.86 = 9,374/x
  3. Step 3: Cross multiply
    17,331.78x = 23,917.86 × 9,374
  4. Step 4: Simplify right side
    17,331.78x = 224,206,019.64
  5. Step 5: Solve for x
    x = 224,206,019.64/17,331.78
  6. Step 6: Final answer
    x = 12,936.12

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1.5x scale

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.