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Finding the Fourth Proportional to 21,107.61, 31,649.72 and 8,636.39

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Solution

The fourth proportional to 21,107.61, 31,649.72 and 8,636.39 is: 12,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.61 : 31,649.72 = 8,636.39 : x
  2. Step 2: Convert to fraction form
    21,107.61/31,649.72 = 8,636.39/x
  3. Step 3: Cross multiply
    21,107.61x = 31,649.72 × 8,636.39
  4. Step 4: Simplify right side
    21,107.61x = 273,339,123.88
  5. Step 5: Solve for x
    x = 273,339,123.88/21,107.61
  6. Step 6: Final answer
    x = 12,949.79

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