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Finding the Fourth Proportional to 16,447.78, 24,671.70 and 4,135.78

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Solution

The fourth proportional to 16,447.78, 24,671.70 and 4,135.78 is: 6,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.78 : 24,671.70 = 4,135.78 : x
  2. Step 2: Convert to fraction form
    16,447.78/24,671.70 = 4,135.78/x
  3. Step 3: Cross multiply
    16,447.78x = 24,671.70 × 4,135.78
  4. Step 4: Simplify right side
    16,447.78x = 102,036,723.43
  5. Step 5: Solve for x
    x = 102,036,723.43/16,447.78
  6. Step 6: Final answer
    x = 6,203.68

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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.