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Finding the Fourth Proportional to 13,704.60, 20,556.90 and 10,205.40

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Solution

The fourth proportional to 13,704.60, 20,556.90 and 10,205.40 is: 15,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.60 : 20,556.90 = 10,205.40 : x
  2. Step 2: Convert to fraction form
    13,704.60/20,556.90 = 10,205.40/x
  3. Step 3: Cross multiply
    13,704.60x = 20,556.90 × 10,205.40
  4. Step 4: Simplify right side
    13,704.60x = 209,791,387.26
  5. Step 5: Solve for x
    x = 209,791,387.26/13,704.60
  6. Step 6: Final answer
    x = 15,308.10

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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.