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Finding the Fourth Proportional to 16,839.41, 23,238.54 and 9,286.02

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Solution

The fourth proportional to 16,839.41, 23,238.54 and 9,286.02 is: 12,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.41 : 23,238.54 = 9,286.02 : x
  2. Step 2: Convert to fraction form
    16,839.41/23,238.54 = 9,286.02/x
  3. Step 3: Cross multiply
    16,839.41x = 23,238.54 × 9,286.02
  4. Step 4: Simplify right side
    16,839.41x = 215,793,547.21
  5. Step 5: Solve for x
    x = 215,793,547.21/16,839.41
  6. Step 6: Final answer
    x = 12,814.80

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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.