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Finding the Fourth Proportional to 29,702.54, 40,989.84 and 16,273.82

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Solution

The fourth proportional to 29,702.54, 40,989.84 and 16,273.82 is: 22,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.54 : 40,989.84 = 16,273.82 : x
  2. Step 2: Convert to fraction form
    29,702.54/40,989.84 = 16,273.82/x
  3. Step 3: Cross multiply
    29,702.54x = 40,989.84 × 16,273.82
  4. Step 4: Simplify right side
    29,702.54x = 667,061,277.99
  5. Step 5: Solve for x
    x = 667,061,277.99/29,702.54
  6. Step 6: Final answer
    x = 22,458.06

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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.