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Finding the Fourth Proportional to 13,857.95, 19,124.13 and 7,889.61

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Solution

The fourth proportional to 13,857.95, 19,124.13 and 7,889.61 is: 10,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.95 : 19,124.13 = 7,889.61 : x
  2. Step 2: Convert to fraction form
    13,857.95/19,124.13 = 7,889.61/x
  3. Step 3: Cross multiply
    13,857.95x = 19,124.13 × 7,889.61
  4. Step 4: Simplify right side
    13,857.95x = 150,882,028.59
  5. Step 5: Solve for x
    x = 150,882,028.59/13,857.95
  6. Step 6: Final answer
    x = 10,887.76

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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.