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Finding the Fourth Proportional to 27,811.38, 38,379.51 and 15,235.86

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Solution

The fourth proportional to 27,811.38, 38,379.51 and 15,235.86 is: 21,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.38 : 38,379.51 = 15,235.86 : x
  2. Step 2: Convert to fraction form
    27,811.38/38,379.51 = 15,235.86/x
  3. Step 3: Cross multiply
    27,811.38x = 38,379.51 × 15,235.86
  4. Step 4: Simplify right side
    27,811.38x = 584,744,841.23
  5. Step 5: Solve for x
    x = 584,744,841.23/27,811.38
  6. Step 6: Final answer
    x = 21,025.38

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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.