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Finding the Fourth Proportional to 21,478.10, 29,638.17 and 12,524.49

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Solution

The fourth proportional to 21,478.10, 29,638.17 and 12,524.49 is: 17,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.10 : 29,638.17 = 12,524.49 : x
  2. Step 2: Convert to fraction form
    21,478.10/29,638.17 = 12,524.49/x
  3. Step 3: Cross multiply
    21,478.10x = 29,638.17 × 12,524.49
  4. Step 4: Simplify right side
    21,478.10x = 371,202,963.78
  5. Step 5: Solve for x
    x = 371,202,963.78/21,478.10
  6. Step 6: Final answer
    x = 17,282.86

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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.