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Finding the Fourth Proportional to 13,868.22, 19,138.13 and 7,494.81

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Solution

The fourth proportional to 13,868.22, 19,138.13 and 7,494.81 is: 10,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.22 : 19,138.13 = 7,494.81 : x
  2. Step 2: Convert to fraction form
    13,868.22/19,138.13 = 7,494.81/x
  3. Step 3: Cross multiply
    13,868.22x = 19,138.13 × 7,494.81
  4. Step 4: Simplify right side
    13,868.22x = 143,436,533.68
  5. Step 5: Solve for x
    x = 143,436,533.68/13,868.22
  6. Step 6: Final answer
    x = 10,342.82

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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.