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Finding the Fourth Proportional to 20,533.70, 30,801.32 and 9,286.90

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Solution

The fourth proportional to 20,533.70, 30,801.32 and 9,286.90 is: 13,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.70 : 30,801.32 = 9,286.90 : x
  2. Step 2: Convert to fraction form
    20,533.70/30,801.32 = 9,286.90/x
  3. Step 3: Cross multiply
    20,533.70x = 30,801.32 × 9,286.90
  4. Step 4: Simplify right side
    20,533.70x = 286,048,778.71
  5. Step 5: Solve for x
    x = 286,048,778.71/20,533.70
  6. Step 6: Final answer
    x = 13,930.70

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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.