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Finding the Fourth Proportional to 11,663.90, 17,476.35 and 8,194.94

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Solution

The fourth proportional to 11,663.90, 17,476.35 and 8,194.94 is: 12,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.90 : 17,476.35 = 8,194.94 : x
  2. Step 2: Convert to fraction form
    11,663.90/17,476.35 = 8,194.94/x
  3. Step 3: Cross multiply
    11,663.90x = 17,476.35 × 8,194.94
  4. Step 4: Simplify right side
    11,663.90x = 143,217,639.67
  5. Step 5: Solve for x
    x = 143,217,639.67/11,663.90
  6. Step 6: Final answer
    x = 12,278.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.