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Finding the Fourth Proportional to 24,257.34, 36,381.87 and 6,723.09

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Solution

The fourth proportional to 24,257.34, 36,381.87 and 6,723.09 is: 10,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.34 : 36,381.87 = 6,723.09 : x
  2. Step 2: Convert to fraction form
    24,257.34/36,381.87 = 6,723.09/x
  3. Step 3: Cross multiply
    24,257.34x = 36,381.87 × 6,723.09
  4. Step 4: Simplify right side
    24,257.34x = 244,598,586.38
  5. Step 5: Solve for x
    x = 244,598,586.38/24,257.34
  6. Step 6: Final answer
    x = 10,083.49

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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.