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Finding the Fourth Proportional to 13,196.58, 18,211.28 and 7,228.46

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Solution

The fourth proportional to 13,196.58, 18,211.28 and 7,228.46 is: 9,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.58 : 18,211.28 = 7,228.46 : x
  2. Step 2: Convert to fraction form
    13,196.58/18,211.28 = 7,228.46/x
  3. Step 3: Cross multiply
    13,196.58x = 18,211.28 × 7,228.46
  4. Step 4: Simplify right side
    13,196.58x = 131,639,555.56
  5. Step 5: Solve for x
    x = 131,639,555.56/13,196.58
  6. Step 6: Final answer
    x = 9,975.28

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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.