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Finding the Fourth Proportional to 17,314.76, 23,894.34 and 9,356.97

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Solution

The fourth proportional to 17,314.76, 23,894.34 and 9,356.97 is: 12,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.76 : 23,894.34 = 9,356.97 : x
  2. Step 2: Convert to fraction form
    17,314.76/23,894.34 = 9,356.97/x
  3. Step 3: Cross multiply
    17,314.76x = 23,894.34 × 9,356.97
  4. Step 4: Simplify right side
    17,314.76x = 223,578,622.55
  5. Step 5: Solve for x
    x = 223,578,622.55/17,314.76
  6. Step 6: Final answer
    x = 12,912.61

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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.