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Finding the Fourth Proportional to 11,776.24, 17,706.45 and 10,863.10

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Solution

The fourth proportional to 11,776.24, 17,706.45 and 10,863.10 is: 16,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.24 : 17,706.45 = 10,863.10 : x
  2. Step 2: Convert to fraction form
    11,776.24/17,706.45 = 10,863.10/x
  3. Step 3: Cross multiply
    11,776.24x = 17,706.45 × 10,863.10
  4. Step 4: Simplify right side
    11,776.24x = 192,346,937.00
  5. Step 5: Solve for x
    x = 192,346,937.00/11,776.24
  6. Step 6: Final answer
    x = 16,333.48

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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.