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Finding the Fourth Proportional to 23,896, 35,856.96 and 11,584

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Solution

The fourth proportional to 23,896, 35,856.96 and 11,584 is: 17,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896 : 35,856.96 = 11,584 : x
  2. Step 2: Convert to fraction form
    23,896/35,856.96 = 11,584/x
  3. Step 3: Cross multiply
    23,896x = 35,856.96 × 11,584
  4. Step 4: Simplify right side
    23,896x = 415,367,024.64
  5. Step 5: Solve for x
    x = 415,367,024.64/23,896
  6. Step 6: Final answer
    x = 17,382.28

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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.