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Finding the Fourth Proportional to 16,369.70, 22,589.38 and 9,295.98

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Solution

The fourth proportional to 16,369.70, 22,589.38 and 9,295.98 is: 12,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.70 : 22,589.38 = 9,295.98 : x
  2. Step 2: Convert to fraction form
    16,369.70/22,589.38 = 9,295.98/x
  3. Step 3: Cross multiply
    16,369.70x = 22,589.38 × 9,295.98
  4. Step 4: Simplify right side
    16,369.70x = 209,990,424.69
  5. Step 5: Solve for x
    x = 209,990,424.69/16,369.70
  6. Step 6: Final answer
    x = 12,827.99

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Why These Related Problems?

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