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Finding the Fourth Proportional to 21,652.52, 32,483 and 8,324.52

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Solution

The fourth proportional to 21,652.52, 32,483 and 8,324.52 is: 12,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.52 : 32,483 = 8,324.52 : x
  2. Step 2: Convert to fraction form
    21,652.52/32,483 = 8,324.52/x
  3. Step 3: Cross multiply
    21,652.52x = 32,483 × 8,324.52
  4. Step 4: Simplify right side
    21,652.52x = 270,405,383.16
  5. Step 5: Solve for x
    x = 270,405,383.16/21,652.52
  6. Step 6: Final answer
    x = 12,488.40

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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.