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Finding the Fourth Proportional to 23,486.52, 35,211.24 and 11,644.37

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Solution

The fourth proportional to 23,486.52, 35,211.24 and 11,644.37 is: 17,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.52 : 35,211.24 = 11,644.37 : x
  2. Step 2: Convert to fraction form
    23,486.52/35,211.24 = 11,644.37/x
  3. Step 3: Cross multiply
    23,486.52x = 35,211.24 × 11,644.37
  4. Step 4: Simplify right side
    23,486.52x = 410,012,706.72
  5. Step 5: Solve for x
    x = 410,012,706.72/23,486.52
  6. Step 6: Final answer
    x = 17,457.36

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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.