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Finding the Fourth Proportional to 23,683.92, 32,683.82 and 13,073.57

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Solution

The fourth proportional to 23,683.92, 32,683.82 and 13,073.57 is: 18,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.92 : 32,683.82 = 13,073.57 : x
  2. Step 2: Convert to fraction form
    23,683.92/32,683.82 = 13,073.57/x
  3. Step 3: Cross multiply
    23,683.92x = 32,683.82 × 13,073.57
  4. Step 4: Simplify right side
    23,683.92x = 427,293,979.85
  5. Step 5: Solve for x
    x = 427,293,979.85/23,683.92
  6. Step 6: Final answer
    x = 18,041.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.