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Finding the Fourth Proportional to 13,680.71, 20,422.14 and 12,019.96

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Solution

The fourth proportional to 13,680.71, 20,422.14 and 12,019.96 is: 17,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.71 : 20,422.14 = 12,019.96 : x
  2. Step 2: Convert to fraction form
    13,680.71/20,422.14 = 12,019.96/x
  3. Step 3: Cross multiply
    13,680.71x = 20,422.14 × 12,019.96
  4. Step 4: Simplify right side
    13,680.71x = 245,473,217.11
  5. Step 5: Solve for x
    x = 245,473,217.11/13,680.71
  6. Step 6: Final answer
    x = 17,943.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.