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Finding the Fourth Proportional to 21,702.42, 29,951.56 and 13,205.14

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Solution

The fourth proportional to 21,702.42, 29,951.56 and 13,205.14 is: 18,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.42 : 29,951.56 = 13,205.14 : x
  2. Step 2: Convert to fraction form
    21,702.42/29,951.56 = 13,205.14/x
  3. Step 3: Cross multiply
    21,702.42x = 29,951.56 × 13,205.14
  4. Step 4: Simplify right side
    21,702.42x = 395,514,543.02
  5. Step 5: Solve for x
    x = 395,514,543.02/21,702.42
  6. Step 6: Final answer
    x = 18,224.44

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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.