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Finding the Fourth Proportional to 17,706.78, 26,564.17 and 9,920.54

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Solution

The fourth proportional to 17,706.78, 26,564.17 and 9,920.54 is: 14,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.78 : 26,564.17 = 9,920.54 : x
  2. Step 2: Convert to fraction form
    17,706.78/26,564.17 = 9,920.54/x
  3. Step 3: Cross multiply
    17,706.78x = 26,564.17 × 9,920.54
  4. Step 4: Simplify right side
    17,706.78x = 263,530,911.05
  5. Step 5: Solve for x
    x = 263,530,911.05/17,706.78
  6. Step 6: Final answer
    x = 14,883.05

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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.