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Finding the Fourth Proportional to 16,915.14, 23,339.94 and 9,843.84

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Solution

The fourth proportional to 16,915.14, 23,339.94 and 9,843.84 is: 13,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915.14 : 23,339.94 = 9,843.84 : x
  2. Step 2: Convert to fraction form
    16,915.14/23,339.94 = 9,843.84/x
  3. Step 3: Cross multiply
    16,915.14x = 23,339.94 × 9,843.84
  4. Step 4: Simplify right side
    16,915.14x = 229,754,634.97
  5. Step 5: Solve for x
    x = 229,754,634.97/16,915.14
  6. Step 6: Final answer
    x = 13,582.78

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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.