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Finding the Fourth Proportional to 24,230.64, 36,362.64 and 9,439.68

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Solution

The fourth proportional to 24,230.64, 36,362.64 and 9,439.68 is: 14,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.64 : 36,362.64 = 9,439.68 : x
  2. Step 2: Convert to fraction form
    24,230.64/36,362.64 = 9,439.68/x
  3. Step 3: Cross multiply
    24,230.64x = 36,362.64 × 9,439.68
  4. Step 4: Simplify right side
    24,230.64x = 343,251,685.56
  5. Step 5: Solve for x
    x = 343,251,685.56/24,230.64
  6. Step 6: Final answer
    x = 14,166.02

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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.