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Finding the Fourth Proportional to 11,650.23, 17,447.99 and 10,129.82

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Solution

The fourth proportional to 11,650.23, 17,447.99 and 10,129.82 is: 15,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.23 : 17,447.99 = 10,129.82 : x
  2. Step 2: Convert to fraction form
    11,650.23/17,447.99 = 10,129.82/x
  3. Step 3: Cross multiply
    11,650.23x = 17,447.99 × 10,129.82
  4. Step 4: Simplify right side
    11,650.23x = 176,744,860.17
  5. Step 5: Solve for x
    x = 176,744,860.17/11,650.23
  6. Step 6: Final answer
    x = 15,170.93

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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.