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Finding the Fourth Proportional to 12,297.81, 16,972.49 and 7,767.08

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Solution

The fourth proportional to 12,297.81, 16,972.49 and 7,767.08 is: 10,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.81 : 16,972.49 = 7,767.08 : x
  2. Step 2: Convert to fraction form
    12,297.81/16,972.49 = 7,767.08/x
  3. Step 3: Cross multiply
    12,297.81x = 16,972.49 × 7,767.08
  4. Step 4: Simplify right side
    12,297.81x = 131,826,563.93
  5. Step 5: Solve for x
    x = 131,826,563.93/12,297.81
  6. Step 6: Final answer
    x = 10,719.52

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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.