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Finding the Fourth Proportional to 13,813.02, 20,708.73 and 9,419.58

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Solution

The fourth proportional to 13,813.02, 20,708.73 and 9,419.58 is: 14,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.02 : 20,708.73 = 9,419.58 : x
  2. Step 2: Convert to fraction form
    13,813.02/20,708.73 = 9,419.58/x
  3. Step 3: Cross multiply
    13,813.02x = 20,708.73 × 9,419.58
  4. Step 4: Simplify right side
    13,813.02x = 195,067,538.93
  5. Step 5: Solve for x
    x = 195,067,538.93/13,813.02
  6. Step 6: Final answer
    x = 14,122.01

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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.