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Finding the Fourth Proportional to 13,689.36, 20,426.52 and 12,853.44

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Solution

The fourth proportional to 13,689.36, 20,426.52 and 12,853.44 is: 19,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.36 : 20,426.52 = 12,853.44 : x
  2. Step 2: Convert to fraction form
    13,689.36/20,426.52 = 12,853.44/x
  3. Step 3: Cross multiply
    13,689.36x = 20,426.52 × 12,853.44
  4. Step 4: Simplify right side
    13,689.36x = 262,551,049.23
  5. Step 5: Solve for x
    x = 262,551,049.23/13,689.36
  6. Step 6: Final answer
    x = 19,179.21

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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.