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Finding the Fourth Proportional to 20,200.93, 30,287.73 and 7,046.13

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Solution

The fourth proportional to 20,200.93, 30,287.73 and 7,046.13 is: 10,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.93 : 30,287.73 = 7,046.13 : x
  2. Step 2: Convert to fraction form
    20,200.93/30,287.73 = 7,046.13/x
  3. Step 3: Cross multiply
    20,200.93x = 30,287.73 × 7,046.13
  4. Step 4: Simplify right side
    20,200.93x = 213,411,282.98
  5. Step 5: Solve for x
    x = 213,411,282.98/20,200.93
  6. Step 6: Final answer
    x = 10,564.43

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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.