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Finding the Fourth Proportional to 12,399.48, 18,605.82 and 5,825.76

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Solution

The fourth proportional to 12,399.48, 18,605.82 and 5,825.76 is: 8,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.48 : 18,605.82 = 5,825.76 : x
  2. Step 2: Convert to fraction form
    12,399.48/18,605.82 = 5,825.76/x
  3. Step 3: Cross multiply
    12,399.48x = 18,605.82 × 5,825.76
  4. Step 4: Simplify right side
    12,399.48x = 108,393,041.92
  5. Step 5: Solve for x
    x = 108,393,041.92/12,399.48
  6. Step 6: Final answer
    x = 8,741.74

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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.