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Finding the Fourth Proportional to 22,509.26, 33,767.85 and 8,657.18

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Solution

The fourth proportional to 22,509.26, 33,767.85 and 8,657.18 is: 12,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.26 : 33,767.85 = 8,657.18 : x
  2. Step 2: Convert to fraction form
    22,509.26/33,767.85 = 8,657.18/x
  3. Step 3: Cross multiply
    22,509.26x = 33,767.85 × 8,657.18
  4. Step 4: Simplify right side
    22,509.26x = 292,334,355.66
  5. Step 5: Solve for x
    x = 292,334,355.66/22,509.26
  6. Step 6: Final answer
    x = 12,987.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.