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Finding the Fourth Proportional to 20,146.62, 27,813.98 and 13,454.40

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Solution

The fourth proportional to 20,146.62, 27,813.98 and 13,454.40 is: 18,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.62 : 27,813.98 = 13,454.40 : x
  2. Step 2: Convert to fraction form
    20,146.62/27,813.98 = 13,454.40/x
  3. Step 3: Cross multiply
    20,146.62x = 27,813.98 × 13,454.40
  4. Step 4: Simplify right side
    20,146.62x = 374,220,550.45
  5. Step 5: Solve for x
    x = 374,220,550.45/20,146.62
  6. Step 6: Final answer
    x = 18,574.85

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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.