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Finding the Fourth Proportional to 14,234.34, 21,352.59 and 3,846

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Solution

The fourth proportional to 14,234.34, 21,352.59 and 3,846 is: 5,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.34 : 21,352.59 = 3,846 : x
  2. Step 2: Convert to fraction form
    14,234.34/21,352.59 = 3,846/x
  3. Step 3: Cross multiply
    14,234.34x = 21,352.59 × 3,846
  4. Step 4: Simplify right side
    14,234.34x = 82,122,061.14
  5. Step 5: Solve for x
    x = 82,122,061.14/14,234.34
  6. Step 6: Final answer
    x = 5,769.29

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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.