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Finding the Fourth Proportional to 16,839.84, 23,239.13 and 9,286.46

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Solution

The fourth proportional to 16,839.84, 23,239.13 and 9,286.46 is: 12,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.84 : 23,239.13 = 9,286.46 : x
  2. Step 2: Convert to fraction form
    16,839.84/23,239.13 = 9,286.46/x
  3. Step 3: Cross multiply
    16,839.84x = 23,239.13 × 9,286.46
  4. Step 4: Simplify right side
    16,839.84x = 215,809,088.55
  5. Step 5: Solve for x
    x = 215,809,088.55/16,839.84
  6. Step 6: Final answer
    x = 12,815.39

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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.