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Finding the Fourth Proportional to 26,462.25, 39,699.18 and 7,743.87

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Solution

The fourth proportional to 26,462.25, 39,699.18 and 7,743.87 is: 11,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462.25 : 39,699.18 = 7,743.87 : x
  2. Step 2: Convert to fraction form
    26,462.25/39,699.18 = 7,743.87/x
  3. Step 3: Cross multiply
    26,462.25x = 39,699.18 × 7,743.87
  4. Step 4: Simplify right side
    26,462.25x = 307,425,289.03
  5. Step 5: Solve for x
    x = 307,425,289.03/26,462.25
  6. Step 6: Final answer
    x = 11,617.50

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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.