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Finding the Fourth Proportional to 13,816.77, 19,067.16 and 7,529.14

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Solution

The fourth proportional to 13,816.77, 19,067.16 and 7,529.14 is: 10,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.77 : 19,067.16 = 7,529.14 : x
  2. Step 2: Convert to fraction form
    13,816.77/19,067.16 = 7,529.14/x
  3. Step 3: Cross multiply
    13,816.77x = 19,067.16 × 7,529.14
  4. Step 4: Simplify right side
    13,816.77x = 143,559,317.04
  5. Step 5: Solve for x
    x = 143,559,317.04/13,816.77
  6. Step 6: Final answer
    x = 10,390.23

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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.