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Finding the Fourth Proportional to 12,355, 17,049.96 and 6,766

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Solution

The fourth proportional to 12,355, 17,049.96 and 6,766 is: 9,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355 : 17,049.96 = 6,766 : x
  2. Step 2: Convert to fraction form
    12,355/17,049.96 = 6,766/x
  3. Step 3: Cross multiply
    12,355x = 17,049.96 × 6,766
  4. Step 4: Simplify right side
    12,355x = 115,360,029.36
  5. Step 5: Solve for x
    x = 115,360,029.36/12,355
  6. Step 6: Final answer
    x = 9,337.11

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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.