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Finding the Fourth Proportional to 11,826.66, 17,717.85 and 10,609.50

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Solution

The fourth proportional to 11,826.66, 17,717.85 and 10,609.50 is: 15,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.66 : 17,717.85 = 10,609.50 : x
  2. Step 2: Convert to fraction form
    11,826.66/17,717.85 = 10,609.50/x
  3. Step 3: Cross multiply
    11,826.66x = 17,717.85 × 10,609.50
  4. Step 4: Simplify right side
    11,826.66x = 187,977,529.58
  5. Step 5: Solve for x
    x = 187,977,529.58/11,826.66
  6. Step 6: Final answer
    x = 15,894.39

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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.