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Finding the Fourth Proportional to 14,234.23, 19,642.87 and 7,861.29

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Solution

The fourth proportional to 14,234.23, 19,642.87 and 7,861.29 is: 10,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.23 : 19,642.87 = 7,861.29 : x
  2. Step 2: Convert to fraction form
    14,234.23/19,642.87 = 7,861.29/x
  3. Step 3: Cross multiply
    14,234.23x = 19,642.87 × 7,861.29
  4. Step 4: Simplify right side
    14,234.23x = 154,418,297.50
  5. Step 5: Solve for x
    x = 154,418,297.50/14,234.23
  6. Step 6: Final answer
    x = 10,848.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.