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Finding the Fourth Proportional to 24,431.14, 36,622.02 and 9,634.30

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Solution

The fourth proportional to 24,431.14, 36,622.02 and 9,634.30 is: 14,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.14 : 36,622.02 = 9,634.30 : x
  2. Step 2: Convert to fraction form
    24,431.14/36,622.02 = 9,634.30/x
  3. Step 3: Cross multiply
    24,431.14x = 36,622.02 × 9,634.30
  4. Step 4: Simplify right side
    24,431.14x = 352,827,527.29
  5. Step 5: Solve for x
    x = 352,827,527.29/24,431.14
  6. Step 6: Final answer
    x = 14,441.71

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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.