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Finding the Fourth Proportional to 15,231.20, 22,846.96 and 6,460.64

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Solution

The fourth proportional to 15,231.20, 22,846.96 and 6,460.64 is: 9,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.20 : 22,846.96 = 6,460.64 : x
  2. Step 2: Convert to fraction form
    15,231.20/22,846.96 = 6,460.64/x
  3. Step 3: Cross multiply
    15,231.20x = 22,846.96 × 6,460.64
  4. Step 4: Simplify right side
    15,231.20x = 147,605,983.65
  5. Step 5: Solve for x
    x = 147,605,983.65/15,231.20
  6. Step 6: Final answer
    x = 9,691.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.