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Finding the Fourth Proportional to 15,230.36, 22,857.08 and 6,471.44

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Solution

The fourth proportional to 15,230.36, 22,857.08 and 6,471.44 is: 9,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.36 : 22,857.08 = 6,471.44 : x
  2. Step 2: Convert to fraction form
    15,230.36/22,857.08 = 6,471.44/x
  3. Step 3: Cross multiply
    15,230.36x = 22,857.08 × 6,471.44
  4. Step 4: Simplify right side
    15,230.36x = 147,918,221.80
  5. Step 5: Solve for x
    x = 147,918,221.80/15,230.36
  6. Step 6: Final answer
    x = 9,712.06

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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.