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Finding the Fourth Proportional to 19,825.74, 27,360.78 and 13,099.56

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Solution

The fourth proportional to 19,825.74, 27,360.78 and 13,099.56 is: 18,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.74 : 27,360.78 = 13,099.56 : x
  2. Step 2: Convert to fraction form
    19,825.74/27,360.78 = 13,099.56/x
  3. Step 3: Cross multiply
    19,825.74x = 27,360.78 × 13,099.56
  4. Step 4: Simplify right side
    19,825.74x = 358,414,179.26
  5. Step 5: Solve for x
    x = 358,414,179.26/19,825.74
  6. Step 6: Final answer
    x = 18,078.22

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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.