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Finding the Fourth Proportional to 16,046.09, 22,143.54 and 8,972.56

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Solution

The fourth proportional to 16,046.09, 22,143.54 and 8,972.56 is: 12,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.09 : 22,143.54 = 8,972.56 : x
  2. Step 2: Convert to fraction form
    16,046.09/22,143.54 = 8,972.56/x
  3. Step 3: Cross multiply
    16,046.09x = 22,143.54 × 8,972.56
  4. Step 4: Simplify right side
    16,046.09x = 198,684,241.26
  5. Step 5: Solve for x
    x = 198,684,241.26/16,046.09
  6. Step 6: Final answer
    x = 12,382.10

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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.