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Finding the Fourth Proportional to 15,090.24, 20,836.96 and 9,794.16

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Solution

The fourth proportional to 15,090.24, 20,836.96 and 9,794.16 is: 13,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.24 : 20,836.96 = 9,794.16 : x
  2. Step 2: Convert to fraction form
    15,090.24/20,836.96 = 9,794.16/x
  3. Step 3: Cross multiply
    15,090.24x = 20,836.96 × 9,794.16
  4. Step 4: Simplify right side
    15,090.24x = 204,080,520.15
  5. Step 5: Solve for x
    x = 204,080,520.15/15,090.24
  6. Step 6: Final answer
    x = 13,524.01

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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.