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Finding the Fourth Proportional to 22,454.16, 33,679.32 and 7,663.44

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Solution

The fourth proportional to 22,454.16, 33,679.32 and 7,663.44 is: 11,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.16 : 33,679.32 = 7,663.44 : x
  2. Step 2: Convert to fraction form
    22,454.16/33,679.32 = 7,663.44/x
  3. Step 3: Cross multiply
    22,454.16x = 33,679.32 × 7,663.44
  4. Step 4: Simplify right side
    22,454.16x = 258,099,448.06
  5. Step 5: Solve for x
    x = 258,099,448.06/22,454.16
  6. Step 6: Final answer
    x = 11,494.50

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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.