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Finding the Fourth Proportional to 23,908, 35,874.96 and 11,596

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Solution

The fourth proportional to 23,908, 35,874.96 and 11,596 is: 17,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908 : 35,874.96 = 11,596 : x
  2. Step 2: Convert to fraction form
    23,908/35,874.96 = 11,596/x
  3. Step 3: Cross multiply
    23,908x = 35,874.96 × 11,596
  4. Step 4: Simplify right side
    23,908x = 416,006,036.16
  5. Step 5: Solve for x
    x = 416,006,036.16/23,908
  6. Step 6: Final answer
    x = 17,400.29

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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.