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Finding the Fourth Proportional to 13,083.78, 18,055.24 and 7,419.06

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Solution

The fourth proportional to 13,083.78, 18,055.24 and 7,419.06 is: 10,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.78 : 18,055.24 = 7,419.06 : x
  2. Step 2: Convert to fraction form
    13,083.78/18,055.24 = 7,419.06/x
  3. Step 3: Cross multiply
    13,083.78x = 18,055.24 × 7,419.06
  4. Step 4: Simplify right side
    13,083.78x = 133,952,908.87
  5. Step 5: Solve for x
    x = 133,952,908.87/13,083.78
  6. Step 6: Final answer
    x = 10,238.09

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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.