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Finding the Fourth Proportional to 16,045.23, 22,142.72 and 8,972.43

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Solution

The fourth proportional to 16,045.23, 22,142.72 and 8,972.43 is: 12,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.23 : 22,142.72 = 8,972.43 : x
  2. Step 2: Convert to fraction form
    16,045.23/22,142.72 = 8,972.43/x
  3. Step 3: Cross multiply
    16,045.23x = 22,142.72 × 8,972.43
  4. Step 4: Simplify right side
    16,045.23x = 198,673,960.35
  5. Step 5: Solve for x
    x = 198,673,960.35/16,045.23
  6. Step 6: Final answer
    x = 12,382.12

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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.