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Finding the Fourth Proportional to 24,813.04, 37,221.16 and 10,962

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Solution

The fourth proportional to 24,813.04, 37,221.16 and 10,962 is: 16,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.04 : 37,221.16 = 10,962 : x
  2. Step 2: Convert to fraction form
    24,813.04/37,221.16 = 10,962/x
  3. Step 3: Cross multiply
    24,813.04x = 37,221.16 × 10,962
  4. Step 4: Simplify right side
    24,813.04x = 408,018,355.92
  5. Step 5: Solve for x
    x = 408,018,355.92/24,813.04
  6. Step 6: Final answer
    x = 16,443.71

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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.