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Finding the Fourth Proportional to 21,238.52, 31,858.12 and 8,091.64

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Solution

The fourth proportional to 21,238.52, 31,858.12 and 8,091.64 is: 12,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.52 : 31,858.12 = 8,091.64 : x
  2. Step 2: Convert to fraction form
    21,238.52/31,858.12 = 8,091.64/x
  3. Step 3: Cross multiply
    21,238.52x = 31,858.12 × 8,091.64
  4. Step 4: Simplify right side
    21,238.52x = 257,784,438.12
  5. Step 5: Solve for x
    x = 257,784,438.12/21,238.52
  6. Step 6: Final answer
    x = 12,137.59

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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.