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Finding the Fourth Proportional to 26,494.38, 39,742.02 and 11,700.09

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Solution

The fourth proportional to 26,494.38, 39,742.02 and 11,700.09 is: 17,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.38 : 39,742.02 = 11,700.09 : x
  2. Step 2: Convert to fraction form
    26,494.38/39,742.02 = 11,700.09/x
  3. Step 3: Cross multiply
    26,494.38x = 39,742.02 × 11,700.09
  4. Step 4: Simplify right side
    26,494.38x = 464,985,210.78
  5. Step 5: Solve for x
    x = 464,985,210.78/26,494.38
  6. Step 6: Final answer
    x = 17,550.33

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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.