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Finding the Fourth Proportional to 16,785.25, 23,151.05 and 16,040.77

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Solution

The fourth proportional to 16,785.25, 23,151.05 and 16,040.77 is: 22,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.25 : 23,151.05 = 16,040.77 : x
  2. Step 2: Convert to fraction form
    16,785.25/23,151.05 = 16,040.77/x
  3. Step 3: Cross multiply
    16,785.25x = 23,151.05 × 16,040.77
  4. Step 4: Simplify right side
    16,785.25x = 371,360,668.31
  5. Step 5: Solve for x
    x = 371,360,668.31/16,785.25
  6. Step 6: Final answer
    x = 22,124.23

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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.