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Finding the Fourth Proportional to 13,067.40, 19,591.19 and 6,498.20

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Solution

The fourth proportional to 13,067.40, 19,591.19 and 6,498.20 is: 9,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.40 : 19,591.19 = 6,498.20 : x
  2. Step 2: Convert to fraction form
    13,067.40/19,591.19 = 6,498.20/x
  3. Step 3: Cross multiply
    13,067.40x = 19,591.19 × 6,498.20
  4. Step 4: Simplify right side
    13,067.40x = 127,307,474.89
  5. Step 5: Solve for x
    x = 127,307,474.89/13,067.40
  6. Step 6: Final answer
    x = 9,742.37

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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.