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Finding the Fourth Proportional to 21,073.66, 31,643.37 and 20,138.86

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Solution

The fourth proportional to 21,073.66, 31,643.37 and 20,138.86 is: 30,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.66 : 31,643.37 = 20,138.86 : x
  2. Step 2: Convert to fraction form
    21,073.66/31,643.37 = 20,138.86/x
  3. Step 3: Cross multiply
    21,073.66x = 31,643.37 × 20,138.86
  4. Step 4: Simplify right side
    21,073.66x = 637,261,398.36
  5. Step 5: Solve for x
    x = 637,261,398.36/21,073.66
  6. Step 6: Final answer
    x = 30,239.71

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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.