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Finding the Fourth Proportional to 22,540.32, 33,811.25 and 7,749.11

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Solution

The fourth proportional to 22,540.32, 33,811.25 and 7,749.11 is: 11,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.32 : 33,811.25 = 7,749.11 : x
  2. Step 2: Convert to fraction form
    22,540.32/33,811.25 = 7,749.11/x
  3. Step 3: Cross multiply
    22,540.32x = 33,811.25 × 7,749.11
  4. Step 4: Simplify right side
    22,540.32x = 262,007,095.49
  5. Step 5: Solve for x
    x = 262,007,095.49/22,540.32
  6. Step 6: Final answer
    x = 11,623.93

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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.