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Finding the Fourth Proportional to 12,005.76, 18,003.06 and 3,683.64

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Solution

The fourth proportional to 12,005.76, 18,003.06 and 3,683.64 is: 5,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.76 : 18,003.06 = 3,683.64 : x
  2. Step 2: Convert to fraction form
    12,005.76/18,003.06 = 3,683.64/x
  3. Step 3: Cross multiply
    12,005.76x = 18,003.06 × 3,683.64
  4. Step 4: Simplify right side
    12,005.76x = 66,316,791.94
  5. Step 5: Solve for x
    x = 66,316,791.94/12,005.76
  6. Step 6: Final answer
    x = 5,523.75

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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.