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Finding the Fourth Proportional to 20,518.38, 28,314.90 and 11,565.99

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Solution

The fourth proportional to 20,518.38, 28,314.90 and 11,565.99 is: 15,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.38 : 28,314.90 = 11,565.99 : x
  2. Step 2: Convert to fraction form
    20,518.38/28,314.90 = 11,565.99/x
  3. Step 3: Cross multiply
    20,518.38x = 28,314.90 × 11,565.99
  4. Step 4: Simplify right side
    20,518.38x = 327,489,850.25
  5. Step 5: Solve for x
    x = 327,489,850.25/20,518.38
  6. Step 6: Final answer
    x = 15,960.80

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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.