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Finding the Fourth Proportional to 13,663.14, 18,858.09 and 8,074.98

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Solution

The fourth proportional to 13,663.14, 18,858.09 and 8,074.98 is: 11,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.14 : 18,858.09 = 8,074.98 : x
  2. Step 2: Convert to fraction form
    13,663.14/18,858.09 = 8,074.98/x
  3. Step 3: Cross multiply
    13,663.14x = 18,858.09 × 8,074.98
  4. Step 4: Simplify right side
    13,663.14x = 152,278,699.59
  5. Step 5: Solve for x
    x = 152,278,699.59/13,663.14
  6. Step 6: Final answer
    x = 11,145.22

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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.