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Finding the Fourth Proportional to 20,685.76, 31,022.44 and 7,535.05

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Solution

The fourth proportional to 20,685.76, 31,022.44 and 7,535.05 is: 11,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.76 : 31,022.44 = 7,535.05 : x
  2. Step 2: Convert to fraction form
    20,685.76/31,022.44 = 7,535.05/x
  3. Step 3: Cross multiply
    20,685.76x = 31,022.44 × 7,535.05
  4. Step 4: Simplify right side
    20,685.76x = 233,755,540.13
  5. Step 5: Solve for x
    x = 233,755,540.13/20,685.76
  6. Step 6: Final answer
    x = 11,300.31

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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.