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Finding the Fourth Proportional to 20,200.81, 30,295.54 and 7,712.23

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Solution

The fourth proportional to 20,200.81, 30,295.54 and 7,712.23 is: 11,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.81 : 30,295.54 = 7,712.23 : x
  2. Step 2: Convert to fraction form
    20,200.81/30,295.54 = 7,712.23/x
  3. Step 3: Cross multiply
    20,200.81x = 30,295.54 × 7,712.23
  4. Step 4: Simplify right side
    20,200.81x = 233,646,172.45
  5. Step 5: Solve for x
    x = 233,646,172.45/20,200.81
  6. Step 6: Final answer
    x = 11,566.18

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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.