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Finding the Fourth Proportional to 21,702.38, 29,936.82 and 12,748.22

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Solution

The fourth proportional to 21,702.38, 29,936.82 and 12,748.22 is: 17,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.38 : 29,936.82 = 12,748.22 : x
  2. Step 2: Convert to fraction form
    21,702.38/29,936.82 = 12,748.22/x
  3. Step 3: Cross multiply
    21,702.38x = 29,936.82 × 12,748.22
  4. Step 4: Simplify right side
    21,702.38x = 381,641,167.46
  5. Step 5: Solve for x
    x = 381,641,167.46/21,702.38
  6. Step 6: Final answer
    x = 17,585.22

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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.