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Finding the Fourth Proportional to 26,289.87, 36,279.75 and 16,214.28

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Solution

The fourth proportional to 26,289.87, 36,279.75 and 16,214.28 is: 22,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.87 : 36,279.75 = 16,214.28 : x
  2. Step 2: Convert to fraction form
    26,289.87/36,279.75 = 16,214.28/x
  3. Step 3: Cross multiply
    26,289.87x = 36,279.75 × 16,214.28
  4. Step 4: Simplify right side
    26,289.87x = 588,249,858.38
  5. Step 5: Solve for x
    x = 588,249,858.38/26,289.87
  6. Step 6: Final answer
    x = 22,375.54

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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.