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Finding the Fourth Proportional to 22,664.57, 33,962.21 and 9,509.76

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Solution

The fourth proportional to 22,664.57, 33,962.21 and 9,509.76 is: 14,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.57 : 33,962.21 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    22,664.57/33,962.21 = 9,509.76/x
  3. Step 3: Cross multiply
    22,664.57x = 33,962.21 × 9,509.76
  4. Step 4: Simplify right side
    22,664.57x = 322,972,418.62
  5. Step 5: Solve for x
    x = 322,972,418.62/22,664.57
  6. Step 6: Final answer
    x = 14,250.10

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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.