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Finding the Fourth Proportional to 22,409.64, 33,638.76 and 20,203.20

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Solution

The fourth proportional to 22,409.64, 33,638.76 and 20,203.20 is: 30,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.64 : 33,638.76 = 20,203.20 : x
  2. Step 2: Convert to fraction form
    22,409.64/33,638.76 = 20,203.20/x
  3. Step 3: Cross multiply
    22,409.64x = 33,638.76 × 20,203.20
  4. Step 4: Simplify right side
    22,409.64x = 679,610,596.03
  5. Step 5: Solve for x
    x = 679,610,596.03/22,409.64
  6. Step 6: Final answer
    x = 30,326.71

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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.