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Finding the Fourth Proportional to 12,342.56, 18,508.23 and 7,662.38

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Solution

The fourth proportional to 12,342.56, 18,508.23 and 7,662.38 is: 11,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.56 : 18,508.23 = 7,662.38 : x
  2. Step 2: Convert to fraction form
    12,342.56/18,508.23 = 7,662.38/x
  3. Step 3: Cross multiply
    12,342.56x = 18,508.23 × 7,662.38
  4. Step 4: Simplify right side
    12,342.56x = 141,817,091.39
  5. Step 5: Solve for x
    x = 141,817,091.39/12,342.56
  6. Step 6: Final answer
    x = 11,490.09

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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.