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Finding the Fourth Proportional to 26,538.22, 39,795.03 and 9,893.79

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Solution

The fourth proportional to 26,538.22, 39,795.03 and 9,893.79 is: 14,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.22 : 39,795.03 = 9,893.79 : x
  2. Step 2: Convert to fraction form
    26,538.22/39,795.03 = 9,893.79/x
  3. Step 3: Cross multiply
    26,538.22x = 39,795.03 × 9,893.79
  4. Step 4: Simplify right side
    26,538.22x = 393,723,669.86
  5. Step 5: Solve for x
    x = 393,723,669.86/26,538.22
  6. Step 6: Final answer
    x = 14,836.10

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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.