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Finding the Fourth Proportional to 13,850.77, 19,111.55 and 8,186.47

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Solution

The fourth proportional to 13,850.77, 19,111.55 and 8,186.47 is: 11,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.77 : 19,111.55 = 8,186.47 : x
  2. Step 2: Convert to fraction form
    13,850.77/19,111.55 = 8,186.47/x
  3. Step 3: Cross multiply
    13,850.77x = 19,111.55 × 8,186.47
  4. Step 4: Simplify right side
    13,850.77x = 156,456,089.80
  5. Step 5: Solve for x
    x = 156,456,089.80/13,850.77
  6. Step 6: Final answer
    x = 11,295.84

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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.