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Finding the Fourth Proportional to 17,271.14, 23,836.28 and 9,717.80

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Solution

The fourth proportional to 17,271.14, 23,836.28 and 9,717.80 is: 13,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.14 : 23,836.28 = 9,717.80 : x
  2. Step 2: Convert to fraction form
    17,271.14/23,836.28 = 9,717.80/x
  3. Step 3: Cross multiply
    17,271.14x = 23,836.28 × 9,717.80
  4. Step 4: Simplify right side
    17,271.14x = 231,636,034.01
  5. Step 5: Solve for x
    x = 231,636,034.01/17,271.14
  6. Step 6: Final answer
    x = 13,411.74

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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.