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Finding the Fourth Proportional to 21,702.17, 29,951.22 and 13,204.91

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Solution

The fourth proportional to 21,702.17, 29,951.22 and 13,204.91 is: 18,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.17 : 29,951.22 = 13,204.91 : x
  2. Step 2: Convert to fraction form
    21,702.17/29,951.22 = 13,204.91/x
  3. Step 3: Cross multiply
    21,702.17x = 29,951.22 × 13,204.91
  4. Step 4: Simplify right side
    21,702.17x = 395,503,014.73
  5. Step 5: Solve for x
    x = 395,503,014.73/21,702.17
  6. Step 6: Final answer
    x = 18,224.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.