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Finding the Fourth Proportional to 16,652.22, 24,978.33 and 8,342.43

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Solution

The fourth proportional to 16,652.22, 24,978.33 and 8,342.43 is: 12,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.22 : 24,978.33 = 8,342.43 : x
  2. Step 2: Convert to fraction form
    16,652.22/24,978.33 = 8,342.43/x
  3. Step 3: Cross multiply
    16,652.22x = 24,978.33 × 8,342.43
  4. Step 4: Simplify right side
    16,652.22x = 208,379,969.54
  5. Step 5: Solve for x
    x = 208,379,969.54/16,652.22
  6. Step 6: Final answer
    x = 12,513.65

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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.