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Finding the Fourth Proportional to 23,961.96, 35,939.64 and 6,432

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Solution

The fourth proportional to 23,961.96, 35,939.64 and 6,432 is: 9,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961.96 : 35,939.64 = 6,432 : x
  2. Step 2: Convert to fraction form
    23,961.96/35,939.64 = 6,432/x
  3. Step 3: Cross multiply
    23,961.96x = 35,939.64 × 6,432
  4. Step 4: Simplify right side
    23,961.96x = 231,163,764.48
  5. Step 5: Solve for x
    x = 231,163,764.48/23,961.96
  6. Step 6: Final answer
    x = 9,647.11

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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.