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Finding the Fourth Proportional to 22,711.28, 34,024.06 and 11,625

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Solution

The fourth proportional to 22,711.28, 34,024.06 and 11,625 is: 17,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.28 : 34,024.06 = 11,625 : x
  2. Step 2: Convert to fraction form
    22,711.28/34,024.06 = 11,625/x
  3. Step 3: Cross multiply
    22,711.28x = 34,024.06 × 11,625
  4. Step 4: Simplify right side
    22,711.28x = 395,529,697.50
  5. Step 5: Solve for x
    x = 395,529,697.50/22,711.28
  6. Step 6: Final answer
    x = 17,415.56

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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.