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Finding the Fourth Proportional to 20,385.38, 28,138.80 and 12,323.54

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Solution

The fourth proportional to 20,385.38, 28,138.80 and 12,323.54 is: 17,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385.38 : 28,138.80 = 12,323.54 : x
  2. Step 2: Convert to fraction form
    20,385.38/28,138.80 = 12,323.54/x
  3. Step 3: Cross multiply
    20,385.38x = 28,138.80 × 12,323.54
  4. Step 4: Simplify right side
    20,385.38x = 346,769,627.35
  5. Step 5: Solve for x
    x = 346,769,627.35/20,385.38
  6. Step 6: Final answer
    x = 17,010.70

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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.