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Finding the Fourth Proportional to 13,166.38, 19,755.04 and 5,776.14

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Solution

The fourth proportional to 13,166.38, 19,755.04 and 5,776.14 is: 8,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.38 : 19,755.04 = 5,776.14 : x
  2. Step 2: Convert to fraction form
    13,166.38/19,755.04 = 5,776.14/x
  3. Step 3: Cross multiply
    13,166.38x = 19,755.04 × 5,776.14
  4. Step 4: Simplify right side
    13,166.38x = 114,107,876.75
  5. Step 5: Solve for x
    x = 114,107,876.75/13,166.38
  6. Step 6: Final answer
    x = 8,666.61

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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.