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Finding the Fourth Proportional to 22,521.13, 33,782.51 and 7,729.97

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Solution

The fourth proportional to 22,521.13, 33,782.51 and 7,729.97 is: 11,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.13 : 33,782.51 = 7,729.97 : x
  2. Step 2: Convert to fraction form
    22,521.13/33,782.51 = 7,729.97/x
  3. Step 3: Cross multiply
    22,521.13x = 33,782.51 × 7,729.97
  4. Step 4: Simplify right side
    22,521.13x = 261,137,639.24
  5. Step 5: Solve for x
    x = 261,137,639.24/22,521.13
  6. Step 6: Final answer
    x = 11,595.23

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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.