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Finding the Fourth Proportional to 20,909.38, 28,855.41 and 11,477.98

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Solution

The fourth proportional to 20,909.38, 28,855.41 and 11,477.98 is: 15,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.38 : 28,855.41 = 11,477.98 : x
  2. Step 2: Convert to fraction form
    20,909.38/28,855.41 = 11,477.98/x
  3. Step 3: Cross multiply
    20,909.38x = 28,855.41 × 11,477.98
  4. Step 4: Simplify right side
    20,909.38x = 331,201,818.87
  5. Step 5: Solve for x
    x = 331,201,818.87/20,909.38
  6. Step 6: Final answer
    x = 15,839.87

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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.