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Finding the Fourth Proportional to 21,702.26, 29,954.49 and 12,276.38

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Solution

The fourth proportional to 21,702.26, 29,954.49 and 12,276.38 is: 16,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.26 : 29,954.49 = 12,276.38 : x
  2. Step 2: Convert to fraction form
    21,702.26/29,954.49 = 12,276.38/x
  3. Step 3: Cross multiply
    21,702.26x = 29,954.49 × 12,276.38
  4. Step 4: Simplify right side
    21,702.26x = 367,732,701.95
  5. Step 5: Solve for x
    x = 367,732,701.95/21,702.26
  6. Step 6: Final answer
    x = 16,944.44

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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.