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Finding the Fourth Proportional to 35,817.96, 53,717.22 and 12,431.64

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Solution

The fourth proportional to 35,817.96, 53,717.22 and 12,431.64 is: 18,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.96 : 53,717.22 = 12,431.64 : x
  2. Step 2: Convert to fraction form
    35,817.96/53,717.22 = 12,431.64/x
  3. Step 3: Cross multiply
    35,817.96x = 53,717.22 × 12,431.64
  4. Step 4: Simplify right side
    35,817.96x = 667,793,140.84
  5. Step 5: Solve for x
    x = 667,793,140.84/35,817.96
  6. Step 6: Final answer
    x = 18,644.09

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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.