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Finding the Fourth Proportional to 22,644.48, 33,963 and 6,005.54

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Solution

The fourth proportional to 22,644.48, 33,963 and 6,005.54 is: 9,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.48 : 33,963 = 6,005.54 : x
  2. Step 2: Convert to fraction form
    22,644.48/33,963 = 6,005.54/x
  3. Step 3: Cross multiply
    22,644.48x = 33,963 × 6,005.54
  4. Step 4: Simplify right side
    22,644.48x = 203,966,155.02
  5. Step 5: Solve for x
    x = 203,966,155.02/22,644.48
  6. Step 6: Final answer
    x = 9,007.32

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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.