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Finding the Fourth Proportional to 13,286.40, 19,929.60 and 12,422.40

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Solution

The fourth proportional to 13,286.40, 19,929.60 and 12,422.40 is: 18,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.40 : 19,929.60 = 12,422.40 : x
  2. Step 2: Convert to fraction form
    13,286.40/19,929.60 = 12,422.40/x
  3. Step 3: Cross multiply
    13,286.40x = 19,929.60 × 12,422.40
  4. Step 4: Simplify right side
    13,286.40x = 247,573,463.04
  5. Step 5: Solve for x
    x = 247,573,463.04/13,286.40
  6. Step 6: Final answer
    x = 18,633.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.