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Finding the Fourth Proportional to 22,536.24, 33,804.23 and 7,746.23

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Solution

The fourth proportional to 22,536.24, 33,804.23 and 7,746.23 is: 11,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.24 : 33,804.23 = 7,746.23 : x
  2. Step 2: Convert to fraction form
    22,536.24/33,804.23 = 7,746.23/x
  3. Step 3: Cross multiply
    22,536.24x = 33,804.23 × 7,746.23
  4. Step 4: Simplify right side
    22,536.24x = 261,855,132.80
  5. Step 5: Solve for x
    x = 261,855,132.80/22,536.24
  6. Step 6: Final answer
    x = 11,619.29

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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.