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Finding the Fourth Proportional to 13,886.71, 19,163.66 and 7,838.24

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Solution

The fourth proportional to 13,886.71, 19,163.66 and 7,838.24 is: 10,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.71 : 19,163.66 = 7,838.24 : x
  2. Step 2: Convert to fraction form
    13,886.71/19,163.66 = 7,838.24/x
  3. Step 3: Cross multiply
    13,886.71x = 19,163.66 × 7,838.24
  4. Step 4: Simplify right side
    13,886.71x = 150,209,231.35
  5. Step 5: Solve for x
    x = 150,209,231.35/13,886.71
  6. Step 6: Final answer
    x = 10,816.76

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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.