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Finding the Fourth Proportional to 12,148.97, 18,182.14 and 7,466.51

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Solution

The fourth proportional to 12,148.97, 18,182.14 and 7,466.51 is: 11,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.97 : 18,182.14 = 7,466.51 : x
  2. Step 2: Convert to fraction form
    12,148.97/18,182.14 = 7,466.51/x
  3. Step 3: Cross multiply
    12,148.97x = 18,182.14 × 7,466.51
  4. Step 4: Simplify right side
    12,148.97x = 135,757,156.92
  5. Step 5: Solve for x
    x = 135,757,156.92/12,148.97
  6. Step 6: Final answer
    x = 11,174.38

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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.