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Finding the Fourth Proportional to 11,893.34, 17,824.62 and 10,238.78

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Solution

The fourth proportional to 11,893.34, 17,824.62 and 10,238.78 is: 15,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.34 : 17,824.62 = 10,238.78 : x
  2. Step 2: Convert to fraction form
    11,893.34/17,824.62 = 10,238.78/x
  3. Step 3: Cross multiply
    11,893.34x = 17,824.62 × 10,238.78
  4. Step 4: Simplify right side
    11,893.34x = 182,502,362.76
  5. Step 5: Solve for x
    x = 182,502,362.76/11,893.34
  6. Step 6: Final answer
    x = 15,344.92

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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.