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Finding the Fourth Proportional to 22,607.92, 33,903.78 and 7,813

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Solution

The fourth proportional to 22,607.92, 33,903.78 and 7,813 is: 11,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.92 : 33,903.78 = 7,813 : x
  2. Step 2: Convert to fraction form
    22,607.92/33,903.78 = 7,813/x
  3. Step 3: Cross multiply
    22,607.92x = 33,903.78 × 7,813
  4. Step 4: Simplify right side
    22,607.92x = 264,890,233.14
  5. Step 5: Solve for x
    x = 264,890,233.14/22,607.92
  6. Step 6: Final answer
    x = 11,716.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.