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Finding the Fourth Proportional to 20,533.52, 30,773.73 and 9,280.58

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Solution

The fourth proportional to 20,533.52, 30,773.73 and 9,280.58 is: 13,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.52 : 30,773.73 = 9,280.58 : x
  2. Step 2: Convert to fraction form
    20,533.52/30,773.73 = 9,280.58/x
  3. Step 3: Cross multiply
    20,533.52x = 30,773.73 × 9,280.58
  4. Step 4: Simplify right side
    20,533.52x = 285,598,063.16
  5. Step 5: Solve for x
    x = 285,598,063.16/20,533.52
  6. Step 6: Final answer
    x = 13,908.87

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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.