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Finding the Fourth Proportional to 24,437.14, 36,631.02 and 9,640.30

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Solution

The fourth proportional to 24,437.14, 36,631.02 and 9,640.30 is: 14,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.14 : 36,631.02 = 9,640.30 : x
  2. Step 2: Convert to fraction form
    24,437.14/36,631.02 = 9,640.30/x
  3. Step 3: Cross multiply
    24,437.14x = 36,631.02 × 9,640.30
  4. Step 4: Simplify right side
    24,437.14x = 353,134,022.11
  5. Step 5: Solve for x
    x = 353,134,022.11/24,437.14
  6. Step 6: Final answer
    x = 14,450.71

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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.