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Finding the Fourth Proportional to 17,271.14, 23,833.19 and 9,717.78

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Solution

The fourth proportional to 17,271.14, 23,833.19 and 9,717.78 is: 13,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.14 : 23,833.19 = 9,717.78 : x
  2. Step 2: Convert to fraction form
    17,271.14/23,833.19 = 9,717.78/x
  3. Step 3: Cross multiply
    17,271.14x = 23,833.19 × 9,717.78
  4. Step 4: Simplify right side
    17,271.14x = 231,605,648.53
  5. Step 5: Solve for x
    x = 231,605,648.53/17,271.14
  6. Step 6: Final answer
    x = 13,409.98

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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.