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Finding the Fourth Proportional to 12,451.35, 17,182.64 and 6,786.15

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Solution

The fourth proportional to 12,451.35, 17,182.64 and 6,786.15 is: 9,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.35 : 17,182.64 = 6,786.15 : x
  2. Step 2: Convert to fraction form
    12,451.35/17,182.64 = 6,786.15/x
  3. Step 3: Cross multiply
    12,451.35x = 17,182.64 × 6,786.15
  4. Step 4: Simplify right side
    12,451.35x = 116,603,972.44
  5. Step 5: Solve for x
    x = 116,603,972.44/12,451.35
  6. Step 6: Final answer
    x = 9,364.77

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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.