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Finding the Fourth Proportional to 23,825.75, 32,858.01 and 14,874.08

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Solution

The fourth proportional to 23,825.75, 32,858.01 and 14,874.08 is: 20,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.75 : 32,858.01 = 14,874.08 : x
  2. Step 2: Convert to fraction form
    23,825.75/32,858.01 = 14,874.08/x
  3. Step 3: Cross multiply
    23,825.75x = 32,858.01 × 14,874.08
  4. Step 4: Simplify right side
    23,825.75x = 488,732,669.38
  5. Step 5: Solve for x
    x = 488,732,669.38/23,825.75
  6. Step 6: Final answer
    x = 20,512.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.