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Finding the Fourth Proportional to 21,680.46, 29,914.52 and 13,719.78

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Solution

The fourth proportional to 21,680.46, 29,914.52 and 13,719.78 is: 18,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.46 : 29,914.52 = 13,719.78 : x
  2. Step 2: Convert to fraction form
    21,680.46/29,914.52 = 13,719.78/x
  3. Step 3: Cross multiply
    21,680.46x = 29,914.52 × 13,719.78
  4. Step 4: Simplify right side
    21,680.46x = 410,420,564.61
  5. Step 5: Solve for x
    x = 410,420,564.61/21,680.46
  6. Step 6: Final answer
    x = 18,930.44

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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.