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Finding the Fourth Proportional to 16,369.92, 22,589.15 and 9,297.41

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Solution

The fourth proportional to 16,369.92, 22,589.15 and 9,297.41 is: 12,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.92 : 22,589.15 = 9,297.41 : x
  2. Step 2: Convert to fraction form
    16,369.92/22,589.15 = 9,297.41/x
  3. Step 3: Cross multiply
    16,369.92x = 22,589.15 × 9,297.41
  4. Step 4: Simplify right side
    16,369.92x = 210,020,429.67
  5. Step 5: Solve for x
    x = 210,020,429.67/16,369.92
  6. Step 6: Final answer
    x = 12,829.66

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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.