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Finding the Fourth Proportional to 22,577.52, 33,867.90 and 7,786.22

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Solution

The fourth proportional to 22,577.52, 33,867.90 and 7,786.22 is: 11,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.52 : 33,867.90 = 7,786.22 : x
  2. Step 2: Convert to fraction form
    22,577.52/33,867.90 = 7,786.22/x
  3. Step 3: Cross multiply
    22,577.52x = 33,867.90 × 7,786.22
  4. Step 4: Simplify right side
    22,577.52x = 263,702,920.34
  5. Step 5: Solve for x
    x = 263,702,920.34/22,577.52
  6. Step 6: Final answer
    x = 11,679.89

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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.