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Finding the Fourth Proportional to 21,238.71, 31,857.34 and 5,443.90

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Solution

The fourth proportional to 21,238.71, 31,857.34 and 5,443.90 is: 8,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.71 : 31,857.34 = 5,443.90 : x
  2. Step 2: Convert to fraction form
    21,238.71/31,857.34 = 5,443.90/x
  3. Step 3: Cross multiply
    21,238.71x = 31,857.34 × 5,443.90
  4. Step 4: Simplify right side
    21,238.71x = 173,428,173.23
  5. Step 5: Solve for x
    x = 173,428,173.23/21,238.71
  6. Step 6: Final answer
    x = 8,165.66

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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.