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Finding the Fourth Proportional to 12,297.14, 16,949.82 and 8,713.30

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Solution

The fourth proportional to 12,297.14, 16,949.82 and 8,713.30 is: 12,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.14 : 16,949.82 = 8,713.30 : x
  2. Step 2: Convert to fraction form
    12,297.14/16,949.82 = 8,713.30/x
  3. Step 3: Cross multiply
    12,297.14x = 16,949.82 × 8,713.30
  4. Step 4: Simplify right side
    12,297.14x = 147,688,866.61
  5. Step 5: Solve for x
    x = 147,688,866.61/12,297.14
  6. Step 6: Final answer
    x = 12,010.02

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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.