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Finding the Fourth Proportional to 16,839.74, 23,239.01 and 9,286.34

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Solution

The fourth proportional to 16,839.74, 23,239.01 and 9,286.34 is: 12,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.74 : 23,239.01 = 9,286.34 : x
  2. Step 2: Convert to fraction form
    16,839.74/23,239.01 = 9,286.34/x
  3. Step 3: Cross multiply
    16,839.74x = 23,239.01 × 9,286.34
  4. Step 4: Simplify right side
    16,839.74x = 215,805,307.47
  5. Step 5: Solve for x
    x = 215,805,307.47/16,839.74
  6. Step 6: Final answer
    x = 12,815.24

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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.