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Finding the Fourth Proportional to 16,767.70, 23,139.25 and 9,214

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Solution

The fourth proportional to 16,767.70, 23,139.25 and 9,214 is: 12,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.70 : 23,139.25 = 9,214 : x
  2. Step 2: Convert to fraction form
    16,767.70/23,139.25 = 9,214/x
  3. Step 3: Cross multiply
    16,767.70x = 23,139.25 × 9,214
  4. Step 4: Simplify right side
    16,767.70x = 213,205,049.50
  5. Step 5: Solve for x
    x = 213,205,049.50/16,767.70
  6. Step 6: Final answer
    x = 12,715.22

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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.