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Finding the Fourth Proportional to 15,233.36, 22,843.50 and 5,239.11

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Solution

The fourth proportional to 15,233.36, 22,843.50 and 5,239.11 is: 7,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.36 : 22,843.50 = 5,239.11 : x
  2. Step 2: Convert to fraction form
    15,233.36/22,843.50 = 5,239.11/x
  3. Step 3: Cross multiply
    15,233.36x = 22,843.50 × 5,239.11
  4. Step 4: Simplify right side
    15,233.36x = 119,679,609.29
  5. Step 5: Solve for x
    x = 119,679,609.29/15,233.36
  6. Step 6: Final answer
    x = 7,856.42

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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.