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Finding the Fourth Proportional to 15,647.68, 23,449.44 and 8,237.20

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Solution

The fourth proportional to 15,647.68, 23,449.44 and 8,237.20 is: 12,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.68 : 23,449.44 = 8,237.20 : x
  2. Step 2: Convert to fraction form
    15,647.68/23,449.44 = 8,237.20/x
  3. Step 3: Cross multiply
    15,647.68x = 23,449.44 × 8,237.20
  4. Step 4: Simplify right side
    15,647.68x = 193,157,727.17
  5. Step 5: Solve for x
    x = 193,157,727.17/15,647.68
  6. Step 6: Final answer
    x = 12,344.18

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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.