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Finding the Fourth Proportional to 23,825.88, 35,699.94 and 12,123

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Solution

The fourth proportional to 23,825.88, 35,699.94 and 12,123 is: 18,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.88 : 35,699.94 = 12,123 : x
  2. Step 2: Convert to fraction form
    23,825.88/35,699.94 = 12,123/x
  3. Step 3: Cross multiply
    23,825.88x = 35,699.94 × 12,123
  4. Step 4: Simplify right side
    23,825.88x = 432,790,372.62
  5. Step 5: Solve for x
    x = 432,790,372.62/23,825.88
  6. Step 6: Final answer
    x = 18,164.72

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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.