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Finding the Fourth Proportional to 15,589.70, 23,376.24 and 6,814.34

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Solution

The fourth proportional to 15,589.70, 23,376.24 and 6,814.34 is: 10,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.70 : 23,376.24 = 6,814.34 : x
  2. Step 2: Convert to fraction form
    15,589.70/23,376.24 = 6,814.34/x
  3. Step 3: Cross multiply
    15,589.70x = 23,376.24 × 6,814.34
  4. Step 4: Simplify right side
    15,589.70x = 159,293,647.28
  5. Step 5: Solve for x
    x = 159,293,647.28/15,589.70
  6. Step 6: Final answer
    x = 10,217.88

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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.