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Finding the Fourth Proportional to 22,185.74, 33,269.37 and 9,029.18

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Solution

The fourth proportional to 22,185.74, 33,269.37 and 9,029.18 is: 13,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.74 : 33,269.37 = 9,029.18 : x
  2. Step 2: Convert to fraction form
    22,185.74/33,269.37 = 9,029.18/x
  3. Step 3: Cross multiply
    22,185.74x = 33,269.37 × 9,029.18
  4. Step 4: Simplify right side
    22,185.74x = 300,395,130.22
  5. Step 5: Solve for x
    x = 300,395,130.22/22,185.74
  6. Step 6: Final answer
    x = 13,540.01

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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.