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Finding the Fourth Proportional to 11,650.82, 17,386.68 and 10,405.22

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Solution

The fourth proportional to 11,650.82, 17,386.68 and 10,405.22 is: 15,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.82 : 17,386.68 = 10,405.22 : x
  2. Step 2: Convert to fraction form
    11,650.82/17,386.68 = 10,405.22/x
  3. Step 3: Cross multiply
    11,650.82x = 17,386.68 × 10,405.22
  4. Step 4: Simplify right side
    11,650.82x = 180,912,230.47
  5. Step 5: Solve for x
    x = 180,912,230.47/11,650.82
  6. Step 6: Final answer
    x = 15,527.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.