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Finding the Fourth Proportional to 13,194.78, 18,208.71 and 7,889.82

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Solution

The fourth proportional to 13,194.78, 18,208.71 and 7,889.82 is: 10,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.78 : 18,208.71 = 7,889.82 : x
  2. Step 2: Convert to fraction form
    13,194.78/18,208.71 = 7,889.82/x
  3. Step 3: Cross multiply
    13,194.78x = 18,208.71 × 7,889.82
  4. Step 4: Simplify right side
    13,194.78x = 143,663,444.33
  5. Step 5: Solve for x
    x = 143,663,444.33/13,194.78
  6. Step 6: Final answer
    x = 10,887.90

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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.