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Finding the Fourth Proportional to 23,898.29, 35,846.42 and 7,257.96

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Solution

The fourth proportional to 23,898.29, 35,846.42 and 7,257.96 is: 10,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.29 : 35,846.42 = 7,257.96 : x
  2. Step 2: Convert to fraction form
    23,898.29/35,846.42 = 7,257.96/x
  3. Step 3: Cross multiply
    23,898.29x = 35,846.42 × 7,257.96
  4. Step 4: Simplify right side
    23,898.29x = 260,171,846.21
  5. Step 5: Solve for x
    x = 260,171,846.21/23,898.29
  6. Step 6: Final answer
    x = 10,886.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.