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Finding the Fourth Proportional to 15,199.56, 20,969.62 and 9,228.96

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Solution

The fourth proportional to 15,199.56, 20,969.62 and 9,228.96 is: 12,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.56 : 20,969.62 = 9,228.96 : x
  2. Step 2: Convert to fraction form
    15,199.56/20,969.62 = 9,228.96/x
  3. Step 3: Cross multiply
    15,199.56x = 20,969.62 × 9,228.96
  4. Step 4: Simplify right side
    15,199.56x = 193,527,784.20
  5. Step 5: Solve for x
    x = 193,527,784.20/15,199.56
  6. Step 6: Final answer
    x = 12,732.46

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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.