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Finding the Fourth Proportional to 14,834, 22,233.72 and 8,257.04

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Solution

The fourth proportional to 14,834, 22,233.72 and 8,257.04 is: 12,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834 : 22,233.72 = 8,257.04 : x
  2. Step 2: Convert to fraction form
    14,834/22,233.72 = 8,257.04/x
  3. Step 3: Cross multiply
    14,834x = 22,233.72 × 8,257.04
  4. Step 4: Simplify right side
    14,834x = 183,584,715.39
  5. Step 5: Solve for x
    x = 183,584,715.39/14,834
  6. Step 6: Final answer
    x = 12,375.94

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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.