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Finding the Fourth Proportional to 20,517.84, 28,315.85 and 11,565.72

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Solution

The fourth proportional to 20,517.84, 28,315.85 and 11,565.72 is: 15,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.84 : 28,315.85 = 11,565.72 : x
  2. Step 2: Convert to fraction form
    20,517.84/28,315.85 = 11,565.72/x
  3. Step 3: Cross multiply
    20,517.84x = 28,315.85 × 11,565.72
  4. Step 4: Simplify right side
    20,517.84x = 327,493,134.83
  5. Step 5: Solve for x
    x = 327,493,134.83/20,517.84
  6. Step 6: Final answer
    x = 15,961.38

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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.