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Finding the Fourth Proportional to 22,911.00, 34,371.86 and 7,115.22

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Solution

The fourth proportional to 22,911.00, 34,371.86 and 7,115.22 is: 10,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911.00 : 34,371.86 = 7,115.22 : x
  2. Step 2: Convert to fraction form
    22,911.00/34,371.86 = 7,115.22/x
  3. Step 3: Cross multiply
    22,911.00x = 34,371.86 × 7,115.22
  4. Step 4: Simplify right side
    22,911.00x = 244,563,350.16
  5. Step 5: Solve for x
    x = 244,563,350.16/22,911.00
  6. Step 6: Final answer
    x = 10,674.50

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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.