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Finding the Fourth Proportional to 16,834.54, 23,231.82 and 9,281.14

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Solution

The fourth proportional to 16,834.54, 23,231.82 and 9,281.14 is: 12,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834.54 : 23,231.82 = 9,281.14 : x
  2. Step 2: Convert to fraction form
    16,834.54/23,231.82 = 9,281.14/x
  3. Step 3: Cross multiply
    16,834.54x = 23,231.82 × 9,281.14
  4. Step 4: Simplify right side
    16,834.54x = 215,617,721.63
  5. Step 5: Solve for x
    x = 215,617,721.63/16,834.54
  6. Step 6: Final answer
    x = 12,808.05

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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.