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Finding the Fourth Proportional to 14,234.52, 19,644.72 and 7,861.62

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Solution

The fourth proportional to 14,234.52, 19,644.72 and 7,861.62 is: 10,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.52 : 19,644.72 = 7,861.62 : x
  2. Step 2: Convert to fraction form
    14,234.52/19,644.72 = 7,861.62/x
  3. Step 3: Cross multiply
    14,234.52x = 19,644.72 × 7,861.62
  4. Step 4: Simplify right side
    14,234.52x = 154,439,323.65
  5. Step 5: Solve for x
    x = 154,439,323.65/14,234.52
  6. Step 6: Final answer
    x = 10,849.63

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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.