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Finding the Fourth Proportional to 17,836.67, 26,744.05 and 8,464

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Solution

The fourth proportional to 17,836.67, 26,744.05 and 8,464 is: 12,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836.67 : 26,744.05 = 8,464 : x
  2. Step 2: Convert to fraction form
    17,836.67/26,744.05 = 8,464/x
  3. Step 3: Cross multiply
    17,836.67x = 26,744.05 × 8,464
  4. Step 4: Simplify right side
    17,836.67x = 226,361,639.20
  5. Step 5: Solve for x
    x = 226,361,639.20/17,836.67
  6. Step 6: Final answer
    x = 12,690.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.