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Finding the Fourth Proportional to 22,615.77, 33,932.89 and 7,835.10

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Solution

The fourth proportional to 22,615.77, 33,932.89 and 7,835.10 is: 11,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.77 : 33,932.89 = 7,835.10 : x
  2. Step 2: Convert to fraction form
    22,615.77/33,932.89 = 7,835.10/x
  3. Step 3: Cross multiply
    22,615.77x = 33,932.89 × 7,835.10
  4. Step 4: Simplify right side
    22,615.77x = 265,867,468.98
  5. Step 5: Solve for x
    x = 265,867,468.98/22,615.77
  6. Step 6: Final answer
    x = 11,755.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.