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Finding the Fourth Proportional to 21,578.29, 32,354.47 and 8,436.85

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Solution

The fourth proportional to 21,578.29, 32,354.47 and 8,436.85 is: 12,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.29 : 32,354.47 = 8,436.85 : x
  2. Step 2: Convert to fraction form
    21,578.29/32,354.47 = 8,436.85/x
  3. Step 3: Cross multiply
    21,578.29x = 32,354.47 × 8,436.85
  4. Step 4: Simplify right side
    21,578.29x = 272,969,790.87
  5. Step 5: Solve for x
    x = 272,969,790.87/21,578.29
  6. Step 6: Final answer
    x = 12,650.21

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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.