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Finding the Fourth Proportional to 22,652.65, 31,249.81 and 15,942.00

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Solution

The fourth proportional to 22,652.65, 31,249.81 and 15,942.00 is: 21,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.65 : 31,249.81 = 15,942.00 : x
  2. Step 2: Convert to fraction form
    22,652.65/31,249.81 = 15,942.00/x
  3. Step 3: Cross multiply
    22,652.65x = 31,249.81 × 15,942.00
  4. Step 4: Simplify right side
    22,652.65x = 498,184,608.13
  5. Step 5: Solve for x
    x = 498,184,608.13/22,652.65
  6. Step 6: Final answer
    x = 21,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.