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Finding the Fourth Proportional to 24,230.36, 36,325.08 and 9,449.60

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Solution

The fourth proportional to 24,230.36, 36,325.08 and 9,449.60 is: 14,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.36 : 36,325.08 = 9,449.60 : x
  2. Step 2: Convert to fraction form
    24,230.36/36,325.08 = 9,449.60/x
  3. Step 3: Cross multiply
    24,230.36x = 36,325.08 × 9,449.60
  4. Step 4: Simplify right side
    24,230.36x = 343,257,475.97
  5. Step 5: Solve for x
    x = 343,257,475.97/24,230.36
  6. Step 6: Final answer
    x = 14,166.42

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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.