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Finding the Fourth Proportional to 13,196.93, 18,206.75 and 8,159.54

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Solution

The fourth proportional to 13,196.93, 18,206.75 and 8,159.54 is: 11,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.93 : 18,206.75 = 8,159.54 : x
  2. Step 2: Convert to fraction form
    13,196.93/18,206.75 = 8,159.54/x
  3. Step 3: Cross multiply
    13,196.93x = 18,206.75 × 8,159.54
  4. Step 4: Simplify right side
    13,196.93x = 148,558,573.06
  5. Step 5: Solve for x
    x = 148,558,573.06/13,196.93
  6. Step 6: Final answer
    x = 11,257.06

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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.