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Finding the Fourth Proportional to 20,296.50, 30,418.02 and 8,595.24

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Solution

The fourth proportional to 20,296.50, 30,418.02 and 8,595.24 is: 12,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.50 : 30,418.02 = 8,595.24 : x
  2. Step 2: Convert to fraction form
    20,296.50/30,418.02 = 8,595.24/x
  3. Step 3: Cross multiply
    20,296.50x = 30,418.02 × 8,595.24
  4. Step 4: Simplify right side
    20,296.50x = 261,450,182.22
  5. Step 5: Solve for x
    x = 261,450,182.22/20,296.50
  6. Step 6: Final answer
    x = 12,881.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.