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Finding the Fourth Proportional to 23,960.96, 35,938.14 and 6,431

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Solution

The fourth proportional to 23,960.96, 35,938.14 and 6,431 is: 9,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960.96 : 35,938.14 = 6,431 : x
  2. Step 2: Convert to fraction form
    23,960.96/35,938.14 = 6,431/x
  3. Step 3: Cross multiply
    23,960.96x = 35,938.14 × 6,431
  4. Step 4: Simplify right side
    23,960.96x = 231,118,178.34
  5. Step 5: Solve for x
    x = 231,118,178.34/23,960.96
  6. Step 6: Final answer
    x = 9,645.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.