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Finding the Fourth Proportional to 22,577.18, 33,867.39 and 7,785.88

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Solution

The fourth proportional to 22,577.18, 33,867.39 and 7,785.88 is: 11,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.18 : 33,867.39 = 7,785.88 : x
  2. Step 2: Convert to fraction form
    22,577.18/33,867.39 = 7,785.88/x
  3. Step 3: Cross multiply
    22,577.18x = 33,867.39 × 7,785.88
  4. Step 4: Simplify right side
    22,577.18x = 263,687,362.92
  5. Step 5: Solve for x
    x = 263,687,362.92/22,577.18
  6. Step 6: Final answer
    x = 11,679.38

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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.