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Finding the Fourth Proportional to 22,609.77, 33,910.03 and 8,565

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Solution

The fourth proportional to 22,609.77, 33,910.03 and 8,565 is: 12,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.77 : 33,910.03 = 8,565 : x
  2. Step 2: Convert to fraction form
    22,609.77/33,910.03 = 8,565/x
  3. Step 3: Cross multiply
    22,609.77x = 33,910.03 × 8,565
  4. Step 4: Simplify right side
    22,609.77x = 290,439,406.95
  5. Step 5: Solve for x
    x = 290,439,406.95/22,609.77
  6. Step 6: Final answer
    x = 12,845.75

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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.