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Finding the Fourth Proportional to 12,776.19, 17,633.58 and 7,187.19

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Solution

The fourth proportional to 12,776.19, 17,633.58 and 7,187.19 is: 9,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.19 : 17,633.58 = 7,187.19 : x
  2. Step 2: Convert to fraction form
    12,776.19/17,633.58 = 7,187.19/x
  3. Step 3: Cross multiply
    12,776.19x = 17,633.58 × 7,187.19
  4. Step 4: Simplify right side
    12,776.19x = 126,735,853.90
  5. Step 5: Solve for x
    x = 126,735,853.90/12,776.19
  6. Step 6: Final answer
    x = 9,919.69

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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.