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Finding the Fourth Proportional to 12,165.07, 18,223.97 and 7,992.41

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Solution

The fourth proportional to 12,165.07, 18,223.97 and 7,992.41 is: 11,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.07 : 18,223.97 = 7,992.41 : x
  2. Step 2: Convert to fraction form
    12,165.07/18,223.97 = 7,992.41/x
  3. Step 3: Cross multiply
    12,165.07x = 18,223.97 × 7,992.41
  4. Step 4: Simplify right side
    12,165.07x = 145,653,440.07
  5. Step 5: Solve for x
    x = 145,653,440.07/12,165.07
  6. Step 6: Final answer
    x = 11,973.09

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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.