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Finding the Fourth Proportional to 12,345.98, 18,524.86 and 5,771.21

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Solution

The fourth proportional to 12,345.98, 18,524.86 and 5,771.21 is: 8,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.98 : 18,524.86 = 5,771.21 : x
  2. Step 2: Convert to fraction form
    12,345.98/18,524.86 = 5,771.21/x
  3. Step 3: Cross multiply
    12,345.98x = 18,524.86 × 5,771.21
  4. Step 4: Simplify right side
    12,345.98x = 106,910,750.23
  5. Step 5: Solve for x
    x = 106,910,750.23/12,345.98
  6. Step 6: Final answer
    x = 8,659.56

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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.