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Finding the Fourth Proportional to 16,297.08, 22,489.80 and 9,223.74

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Solution

The fourth proportional to 16,297.08, 22,489.80 and 9,223.74 is: 12,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.08 : 22,489.80 = 9,223.74 : x
  2. Step 2: Convert to fraction form
    16,297.08/22,489.80 = 9,223.74/x
  3. Step 3: Cross multiply
    16,297.08x = 22,489.80 × 9,223.74
  4. Step 4: Simplify right side
    16,297.08x = 207,440,067.85
  5. Step 5: Solve for x
    x = 207,440,067.85/16,297.08
  6. Step 6: Final answer
    x = 12,728.66

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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.