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Finding the Fourth Proportional to 13,846.32, 19,105.07 and 8,178.20

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Solution

The fourth proportional to 13,846.32, 19,105.07 and 8,178.20 is: 11,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.32 : 19,105.07 = 8,178.20 : x
  2. Step 2: Convert to fraction form
    13,846.32/19,105.07 = 8,178.20/x
  3. Step 3: Cross multiply
    13,846.32x = 19,105.07 × 8,178.20
  4. Step 4: Simplify right side
    13,846.32x = 156,244,947.06
  5. Step 5: Solve for x
    x = 156,244,947.06/13,846.32
  6. Step 6: Final answer
    x = 11,284.22

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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.