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Finding the Fourth Proportional to 23,683.75, 32,683.84 and 13,073.39

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Solution

The fourth proportional to 23,683.75, 32,683.84 and 13,073.39 is: 18,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.75 : 32,683.84 = 13,073.39 : x
  2. Step 2: Convert to fraction form
    23,683.75/32,683.84 = 13,073.39/x
  3. Step 3: Cross multiply
    23,683.75x = 32,683.84 × 13,073.39
  4. Step 4: Simplify right side
    23,683.75x = 427,288,390.91
  5. Step 5: Solve for x
    x = 427,288,390.91/23,683.75
  6. Step 6: Final answer
    x = 18,041.42

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Why These Related Problems?

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