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Finding the Fourth Proportional to 22,518.92, 33,782.52 and 7,729.32

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Solution

The fourth proportional to 22,518.92, 33,782.52 and 7,729.32 is: 11,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.92 : 33,782.52 = 7,729.32 : x
  2. Step 2: Convert to fraction form
    22,518.92/33,782.52 = 7,729.32/x
  3. Step 3: Cross multiply
    22,518.92x = 33,782.52 × 7,729.32
  4. Step 4: Simplify right side
    22,518.92x = 261,115,907.49
  5. Step 5: Solve for x
    x = 261,115,907.49/22,518.92
  6. Step 6: Final answer
    x = 11,595.40

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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.