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Finding the Fourth Proportional to 22,480.86, 33,720.03 and 6,898.44

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Solution

The fourth proportional to 22,480.86, 33,720.03 and 6,898.44 is: 10,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.86 : 33,720.03 = 6,898.44 : x
  2. Step 2: Convert to fraction form
    22,480.86/33,720.03 = 6,898.44/x
  3. Step 3: Cross multiply
    22,480.86x = 33,720.03 × 6,898.44
  4. Step 4: Simplify right side
    22,480.86x = 232,615,603.75
  5. Step 5: Solve for x
    x = 232,615,603.75/22,480.86
  6. Step 6: Final answer
    x = 10,347.27

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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.