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Finding the Fourth Proportional to 16,784.25, 23,149.67 and 16,039.77

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Solution

The fourth proportional to 16,784.25, 23,149.67 and 16,039.77 is: 22,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.25 : 23,149.67 = 16,039.77 : x
  2. Step 2: Convert to fraction form
    16,784.25/23,149.67 = 16,039.77/x
  3. Step 3: Cross multiply
    16,784.25x = 23,149.67 × 16,039.77
  4. Step 4: Simplify right side
    16,784.25x = 371,315,382.38
  5. Step 5: Solve for x
    x = 371,315,382.38/16,784.25
  6. Step 6: Final answer
    x = 22,122.85

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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.