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Finding the Fourth Proportional to 16,819.69, 23,211.75 and 9,266.53

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Solution

The fourth proportional to 16,819.69, 23,211.75 and 9,266.53 is: 12,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.69 : 23,211.75 = 9,266.53 : x
  2. Step 2: Convert to fraction form
    16,819.69/23,211.75 = 9,266.53/x
  3. Step 3: Cross multiply
    16,819.69x = 23,211.75 × 9,266.53
  4. Step 4: Simplify right side
    16,819.69x = 215,092,377.73
  5. Step 5: Solve for x
    x = 215,092,377.73/16,819.69
  6. Step 6: Final answer
    x = 12,788.13

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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.