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Finding the Fourth Proportional to 20,865.26, 28,778.36 and 14,491.86

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Solution

The fourth proportional to 20,865.26, 28,778.36 and 14,491.86 is: 19,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.26 : 28,778.36 = 14,491.86 : x
  2. Step 2: Convert to fraction form
    20,865.26/28,778.36 = 14,491.86/x
  3. Step 3: Cross multiply
    20,865.26x = 28,778.36 × 14,491.86
  4. Step 4: Simplify right side
    20,865.26x = 417,052,000.38
  5. Step 5: Solve for x
    x = 417,052,000.38/20,865.26
  6. Step 6: Final answer
    x = 19,987.86

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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.