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Finding the Fourth Proportional to 16,830.67, 23,226.21 and 9,277

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Solution

The fourth proportional to 16,830.67, 23,226.21 and 9,277 is: 12,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.67 : 23,226.21 = 9,277 : x
  2. Step 2: Convert to fraction form
    16,830.67/23,226.21 = 9,277/x
  3. Step 3: Cross multiply
    16,830.67x = 23,226.21 × 9,277
  4. Step 4: Simplify right side
    16,830.67x = 215,469,503.79
  5. Step 5: Solve for x
    x = 215,469,503.79/16,830.67
  6. Step 6: Final answer
    x = 12,802.19

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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.