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Finding the Fourth Proportional to 20,543.60, 30,815.40 and 13,107.80

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Solution

The fourth proportional to 20,543.60, 30,815.40 and 13,107.80 is: 19,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.60 : 30,815.40 = 13,107.80 : x
  2. Step 2: Convert to fraction form
    20,543.60/30,815.40 = 13,107.80/x
  3. Step 3: Cross multiply
    20,543.60x = 30,815.40 × 13,107.80
  4. Step 4: Simplify right side
    20,543.60x = 403,922,100.12
  5. Step 5: Solve for x
    x = 403,922,100.12/20,543.60
  6. Step 6: Final answer
    x = 19,661.70

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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.