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Finding the Fourth Proportional to 12,187.67, 16,819.11 and 7,151.98

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Solution

The fourth proportional to 12,187.67, 16,819.11 and 7,151.98 is: 9,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.67 : 16,819.11 = 7,151.98 : x
  2. Step 2: Convert to fraction form
    12,187.67/16,819.11 = 7,151.98/x
  3. Step 3: Cross multiply
    12,187.67x = 16,819.11 × 7,151.98
  4. Step 4: Simplify right side
    12,187.67x = 120,289,927.83
  5. Step 5: Solve for x
    x = 120,289,927.83/12,187.67
  6. Step 6: Final answer
    x = 9,869.81

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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.