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Finding the Fourth Proportional to 17,314.74, 23,894.27 and 9,356.94

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Solution

The fourth proportional to 17,314.74, 23,894.27 and 9,356.94 is: 12,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.74 : 23,894.27 = 9,356.94 : x
  2. Step 2: Convert to fraction form
    17,314.74/23,894.27 = 9,356.94/x
  3. Step 3: Cross multiply
    17,314.74x = 23,894.27 × 9,356.94
  4. Step 4: Simplify right side
    17,314.74x = 223,577,279.92
  5. Step 5: Solve for x
    x = 223,577,279.92/17,314.74
  6. Step 6: Final answer
    x = 12,912.54

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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.