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Finding the Fourth Proportional to 12,365.68, 18,548.38 and 3,005.82

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Solution

The fourth proportional to 12,365.68, 18,548.38 and 3,005.82 is: 4,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.68 : 18,548.38 = 3,005.82 : x
  2. Step 2: Convert to fraction form
    12,365.68/18,548.38 = 3,005.82/x
  3. Step 3: Cross multiply
    12,365.68x = 18,548.38 × 3,005.82
  4. Step 4: Simplify right side
    12,365.68x = 55,753,091.57
  5. Step 5: Solve for x
    x = 55,753,091.57/12,365.68
  6. Step 6: Final answer
    x = 4,508.70

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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.