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Finding the Fourth Proportional to 17,737.96, 24,433.38 and 13,538.92

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Solution

The fourth proportional to 17,737.96, 24,433.38 and 13,538.92 is: 18,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.96 : 24,433.38 = 13,538.92 : x
  2. Step 2: Convert to fraction form
    17,737.96/24,433.38 = 13,538.92/x
  3. Step 3: Cross multiply
    17,737.96x = 24,433.38 × 13,538.92
  4. Step 4: Simplify right side
    17,737.96x = 330,801,577.15
  5. Step 5: Solve for x
    x = 330,801,577.15/17,737.96
  6. Step 6: Final answer
    x = 18,649.36

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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.