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Finding the Fourth Proportional to 12,776.70, 17,631.83 and 7,187.70

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Solution

The fourth proportional to 12,776.70, 17,631.83 and 7,187.70 is: 9,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.70 : 17,631.83 = 7,187.70 : x
  2. Step 2: Convert to fraction form
    12,776.70/17,631.83 = 7,187.70/x
  3. Step 3: Cross multiply
    12,776.70x = 17,631.83 × 7,187.70
  4. Step 4: Simplify right side
    12,776.70x = 126,732,304.49
  5. Step 5: Solve for x
    x = 126,732,304.49/12,776.70
  6. Step 6: Final answer
    x = 9,919.02

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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.