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Finding the Fourth Proportional to 20,542.70, 30,816.94 and 6,501.25

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Solution

The fourth proportional to 20,542.70, 30,816.94 and 6,501.25 is: 9,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.70 : 30,816.94 = 6,501.25 : x
  2. Step 2: Convert to fraction form
    20,542.70/30,816.94 = 6,501.25/x
  3. Step 3: Cross multiply
    20,542.70x = 30,816.94 × 6,501.25
  4. Step 4: Simplify right side
    20,542.70x = 200,348,631.18
  5. Step 5: Solve for x
    x = 200,348,631.18/20,542.70
  6. Step 6: Final answer
    x = 9,752.79

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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.