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Finding the Fourth Proportional to 17,314.80, 23,895.12 and 9,761.41

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Solution

The fourth proportional to 17,314.80, 23,895.12 and 9,761.41 is: 13,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.80 : 23,895.12 = 9,761.41 : x
  2. Step 2: Convert to fraction form
    17,314.80/23,895.12 = 9,761.41/x
  3. Step 3: Cross multiply
    17,314.80x = 23,895.12 × 9,761.41
  4. Step 4: Simplify right side
    17,314.80x = 233,250,063.32
  5. Step 5: Solve for x
    x = 233,250,063.32/17,314.80
  6. Step 6: Final answer
    x = 13,471.14

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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.