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Finding the Fourth Proportional to 22,666.72, 33,991.26 and 7,669.83

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Solution

The fourth proportional to 22,666.72, 33,991.26 and 7,669.83 is: 11,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.72 : 33,991.26 = 7,669.83 : x
  2. Step 2: Convert to fraction form
    22,666.72/33,991.26 = 7,669.83/x
  3. Step 3: Cross multiply
    22,666.72x = 33,991.26 × 7,669.83
  4. Step 4: Simplify right side
    22,666.72x = 260,707,015.73
  5. Step 5: Solve for x
    x = 260,707,015.73/22,666.72
  6. Step 6: Final answer
    x = 11,501.75

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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.