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Finding the Fourth Proportional to 12,285.80, 18,431.57 and 3,520.47

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Solution

The fourth proportional to 12,285.80, 18,431.57 and 3,520.47 is: 5,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.80 : 18,431.57 = 3,520.47 : x
  2. Step 2: Convert to fraction form
    12,285.80/18,431.57 = 3,520.47/x
  3. Step 3: Cross multiply
    12,285.80x = 18,431.57 × 3,520.47
  4. Step 4: Simplify right side
    12,285.80x = 64,887,789.24
  5. Step 5: Solve for x
    x = 64,887,789.24/12,285.80
  6. Step 6: Final answer
    x = 5,281.53

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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.