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Finding the Fourth Proportional to 14,067.29, 19,412.98 and 7,694.01

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Solution

The fourth proportional to 14,067.29, 19,412.98 and 7,694.01 is: 10,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.29 : 19,412.98 = 7,694.01 : x
  2. Step 2: Convert to fraction form
    14,067.29/19,412.98 = 7,694.01/x
  3. Step 3: Cross multiply
    14,067.29x = 19,412.98 × 7,694.01
  4. Step 4: Simplify right side
    14,067.29x = 149,363,643.01
  5. Step 5: Solve for x
    x = 149,363,643.01/14,067.29
  6. Step 6: Final answer
    x = 10,617.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.