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Finding the Fourth Proportional to 13,067.84, 19,588.80 and 6,134.24

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Solution

The fourth proportional to 13,067.84, 19,588.80 and 6,134.24 is: 9,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.84 : 19,588.80 = 6,134.24 : x
  2. Step 2: Convert to fraction form
    13,067.84/19,588.80 = 6,134.24/x
  3. Step 3: Cross multiply
    13,067.84x = 19,588.80 × 6,134.24
  4. Step 4: Simplify right side
    13,067.84x = 120,162,400.51
  5. Step 5: Solve for x
    x = 120,162,400.51/13,067.84
  6. Step 6: Final answer
    x = 9,195.28

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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.