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Finding the Fourth Proportional to 11,396.31, 17,038.26 and 9,660.68

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Solution

The fourth proportional to 11,396.31, 17,038.26 and 9,660.68 is: 14,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.31 : 17,038.26 = 9,660.68 : x
  2. Step 2: Convert to fraction form
    11,396.31/17,038.26 = 9,660.68/x
  3. Step 3: Cross multiply
    11,396.31x = 17,038.26 × 9,660.68
  4. Step 4: Simplify right side
    11,396.31x = 164,601,192.55
  5. Step 5: Solve for x
    x = 164,601,192.55/11,396.31
  6. Step 6: Final answer
    x = 14,443.38

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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.