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Finding the Fourth Proportional to 13,067.28, 19,603.80 and 6,138

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Solution

The fourth proportional to 13,067.28, 19,603.80 and 6,138 is: 9,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.28 : 19,603.80 = 6,138 : x
  2. Step 2: Convert to fraction form
    13,067.28/19,603.80 = 6,138/x
  3. Step 3: Cross multiply
    13,067.28x = 19,603.80 × 6,138
  4. Step 4: Simplify right side
    13,067.28x = 120,328,124.40
  5. Step 5: Solve for x
    x = 120,328,124.40/13,067.28
  6. Step 6: Final answer
    x = 9,208.35

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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.