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Finding the Fourth Proportional to 13,196.74, 18,211.78 and 7,228.66

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Solution

The fourth proportional to 13,196.74, 18,211.78 and 7,228.66 is: 9,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.74 : 18,211.78 = 7,228.66 : x
  2. Step 2: Convert to fraction form
    13,196.74/18,211.78 = 7,228.66/x
  3. Step 3: Cross multiply
    13,196.74x = 18,211.78 × 7,228.66
  4. Step 4: Simplify right side
    13,196.74x = 131,646,765.61
  5. Step 5: Solve for x
    x = 131,646,765.61/13,196.74
  6. Step 6: Final answer
    x = 9,975.70

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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.