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Finding the Fourth Proportional to 22,564.48, 33,838.38 and 7,769.32

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Solution

The fourth proportional to 22,564.48, 33,838.38 and 7,769.32 is: 11,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.48 : 33,838.38 = 7,769.32 : x
  2. Step 2: Convert to fraction form
    22,564.48/33,838.38 = 7,769.32/x
  3. Step 3: Cross multiply
    22,564.48x = 33,838.38 × 7,769.32
  4. Step 4: Simplify right side
    22,564.48x = 262,901,202.50
  5. Step 5: Solve for x
    x = 262,901,202.50/22,564.48
  6. Step 6: Final answer
    x = 11,651.11

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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.