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Finding the Fourth Proportional to 20,201.80, 30,302.70 and 13,203.40

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Solution

The fourth proportional to 20,201.80, 30,302.70 and 13,203.40 is: 19,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.80 : 30,302.70 = 13,203.40 : x
  2. Step 2: Convert to fraction form
    20,201.80/30,302.70 = 13,203.40/x
  3. Step 3: Cross multiply
    20,201.80x = 30,302.70 × 13,203.40
  4. Step 4: Simplify right side
    20,201.80x = 400,098,669.18
  5. Step 5: Solve for x
    x = 400,098,669.18/20,201.80
  6. Step 6: Final answer
    x = 19,805.10

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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.