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Finding the Fourth Proportional to 22,642.48, 33,960 and 6,003.54

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Solution

The fourth proportional to 22,642.48, 33,960 and 6,003.54 is: 9,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.48 : 33,960 = 6,003.54 : x
  2. Step 2: Convert to fraction form
    22,642.48/33,960 = 6,003.54/x
  3. Step 3: Cross multiply
    22,642.48x = 33,960 × 6,003.54
  4. Step 4: Simplify right side
    22,642.48x = 203,880,218.40
  5. Step 5: Solve for x
    x = 203,880,218.40/22,642.48
  6. Step 6: Final answer
    x = 9,004.32

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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.