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Finding the Fourth Proportional to 28,129.16, 38,822.10 and 16,949

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Solution

The fourth proportional to 28,129.16, 38,822.10 and 16,949 is: 23,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,129.16 : 38,822.10 = 16,949 : x
  2. Step 2: Convert to fraction form
    28,129.16/38,822.10 = 16,949/x
  3. Step 3: Cross multiply
    28,129.16x = 38,822.10 × 16,949
  4. Step 4: Simplify right side
    28,129.16x = 657,995,772.90
  5. Step 5: Solve for x
    x = 657,995,772.90/28,129.16
  6. Step 6: Final answer
    x = 23,391.95

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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.