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Finding the Fourth Proportional to 22,257.36, 30,715.25 and 12,186.74

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Solution

The fourth proportional to 22,257.36, 30,715.25 and 12,186.74 is: 16,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.36 : 30,715.25 = 12,186.74 : x
  2. Step 2: Convert to fraction form
    22,257.36/30,715.25 = 12,186.74/x
  3. Step 3: Cross multiply
    22,257.36x = 30,715.25 × 12,186.74
  4. Step 4: Simplify right side
    22,257.36x = 374,318,765.79
  5. Step 5: Solve for x
    x = 374,318,765.79/22,257.36
  6. Step 6: Final answer
    x = 16,817.75

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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.