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Finding the Fourth Proportional to 15,196.56, 20,972.70 and 9,228.48

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Solution

The fourth proportional to 15,196.56, 20,972.70 and 9,228.48 is: 12,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.56 : 20,972.70 = 9,228.48 : x
  2. Step 2: Convert to fraction form
    15,196.56/20,972.70 = 9,228.48/x
  3. Step 3: Cross multiply
    15,196.56x = 20,972.70 × 9,228.48
  4. Step 4: Simplify right side
    15,196.56x = 193,546,142.50
  5. Step 5: Solve for x
    x = 193,546,142.50/15,196.56
  6. Step 6: Final answer
    x = 12,736.18

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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.