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Finding the Fourth Proportional to 22,662.54, 34,010.83 and 11,578.50

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Solution

The fourth proportional to 22,662.54, 34,010.83 and 11,578.50 is: 17,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.54 : 34,010.83 = 11,578.50 : x
  2. Step 2: Convert to fraction form
    22,662.54/34,010.83 = 11,578.50/x
  3. Step 3: Cross multiply
    22,662.54x = 34,010.83 × 11,578.50
  4. Step 4: Simplify right side
    22,662.54x = 393,794,395.16
  5. Step 5: Solve for x
    x = 393,794,395.16/22,662.54
  6. Step 6: Final answer
    x = 17,376.45

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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.