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Finding the Fourth Proportional to 26,149.69, 39,212.22 and 9,497.98

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Solution

The fourth proportional to 26,149.69, 39,212.22 and 9,497.98 is: 14,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.69 : 39,212.22 = 9,497.98 : x
  2. Step 2: Convert to fraction form
    26,149.69/39,212.22 = 9,497.98/x
  3. Step 3: Cross multiply
    26,149.69x = 39,212.22 × 9,497.98
  4. Step 4: Simplify right side
    26,149.69x = 372,436,833.83
  5. Step 5: Solve for x
    x = 372,436,833.83/26,149.69
  6. Step 6: Final answer
    x = 14,242.50

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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.