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Finding the Fourth Proportional to 20,532.70, 30,799.82 and 9,285.90

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Solution

The fourth proportional to 20,532.70, 30,799.82 and 9,285.90 is: 13,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.70 : 30,799.82 = 9,285.90 : x
  2. Step 2: Convert to fraction form
    20,532.70/30,799.82 = 9,285.90/x
  3. Step 3: Cross multiply
    20,532.70x = 30,799.82 × 9,285.90
  4. Step 4: Simplify right side
    20,532.70x = 286,004,048.54
  5. Step 5: Solve for x
    x = 286,004,048.54/20,532.70
  6. Step 6: Final answer
    x = 13,929.20

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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.