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Finding the Fourth Proportional to 14,234.87, 19,644.32 and 7,861.50

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Solution

The fourth proportional to 14,234.87, 19,644.32 and 7,861.50 is: 10,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.87 : 19,644.32 = 7,861.50 : x
  2. Step 2: Convert to fraction form
    14,234.87/19,644.32 = 7,861.50/x
  3. Step 3: Cross multiply
    14,234.87x = 19,644.32 × 7,861.50
  4. Step 4: Simplify right side
    14,234.87x = 154,433,841.33
  5. Step 5: Solve for x
    x = 154,433,841.33/14,234.87
  6. Step 6: Final answer
    x = 10,848.98

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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.