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Finding the Fourth Proportional to 27,737.37, 38,277.90 and 15,162.12

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Solution

The fourth proportional to 27,737.37, 38,277.90 and 15,162.12 is: 20,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.37 : 38,277.90 = 15,162.12 : x
  2. Step 2: Convert to fraction form
    27,737.37/38,277.90 = 15,162.12/x
  3. Step 3: Cross multiply
    27,737.37x = 38,277.90 × 15,162.12
  4. Step 4: Simplify right side
    27,737.37x = 580,374,113.15
  5. Step 5: Solve for x
    x = 580,374,113.15/27,737.37
  6. Step 6: Final answer
    x = 20,923.91

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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.