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Finding the Fourth Proportional to 16,589.26, 22,893.06 and 9,035.57

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Solution

The fourth proportional to 16,589.26, 22,893.06 and 9,035.57 is: 12,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.26 : 22,893.06 = 9,035.57 : x
  2. Step 2: Convert to fraction form
    16,589.26/22,893.06 = 9,035.57/x
  3. Step 3: Cross multiply
    16,589.26x = 22,893.06 × 9,035.57
  4. Step 4: Simplify right side
    16,589.26x = 206,851,686.50
  5. Step 5: Solve for x
    x = 206,851,686.50/16,589.26
  6. Step 6: Final answer
    x = 12,469.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.