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Finding the Fourth Proportional to 13,816.78, 19,067.20 and 7,529.16

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Solution

The fourth proportional to 13,816.78, 19,067.20 and 7,529.16 is: 10,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.78 : 19,067.20 = 7,529.16 : x
  2. Step 2: Convert to fraction form
    13,816.78/19,067.20 = 7,529.16/x
  3. Step 3: Cross multiply
    13,816.78x = 19,067.20 × 7,529.16
  4. Step 4: Simplify right side
    13,816.78x = 143,559,999.55
  5. Step 5: Solve for x
    x = 143,559,999.55/13,816.78
  6. Step 6: Final answer
    x = 10,390.26

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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.