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Finding the Fourth Proportional to 24,526.38, 33,826.74 and 16,027.86

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Solution

The fourth proportional to 24,526.38, 33,826.74 and 16,027.86 is: 22,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526.38 : 33,826.74 = 16,027.86 : x
  2. Step 2: Convert to fraction form
    24,526.38/33,826.74 = 16,027.86/x
  3. Step 3: Cross multiply
    24,526.38x = 33,826.74 × 16,027.86
  4. Step 4: Simplify right side
    24,526.38x = 542,170,252.98
  5. Step 5: Solve for x
    x = 542,170,252.98/24,526.38
  6. Step 6: Final answer
    x = 22,105.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.