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Finding the Fourth Proportional to 17,146.57, 23,660.47 and 9,975.14

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Solution

The fourth proportional to 17,146.57, 23,660.47 and 9,975.14 is: 13,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.57 : 23,660.47 = 9,975.14 : x
  2. Step 2: Convert to fraction form
    17,146.57/23,660.47 = 9,975.14/x
  3. Step 3: Cross multiply
    17,146.57x = 23,660.47 × 9,975.14
  4. Step 4: Simplify right side
    17,146.57x = 236,016,500.72
  5. Step 5: Solve for x
    x = 236,016,500.72/17,146.57
  6. Step 6: Final answer
    x = 13,764.65

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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.