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Finding the Fourth Proportional to 17,319.97, 23,900.14 and 9,768.16

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Solution

The fourth proportional to 17,319.97, 23,900.14 and 9,768.16 is: 13,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,319.97 : 23,900.14 = 9,768.16 : x
  2. Step 2: Convert to fraction form
    17,319.97/23,900.14 = 9,768.16/x
  3. Step 3: Cross multiply
    17,319.97x = 23,900.14 × 9,768.16
  4. Step 4: Simplify right side
    17,319.97x = 233,460,391.54
  5. Step 5: Solve for x
    x = 233,460,391.54/17,319.97
  6. Step 6: Final answer
    x = 13,479.26

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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.