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Finding the Fourth Proportional to 21,072.66, 31,641.87 and 20,137.86

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Solution

The fourth proportional to 21,072.66, 31,641.87 and 20,137.86 is: 30,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.66 : 31,641.87 = 20,137.86 : x
  2. Step 2: Convert to fraction form
    21,072.66/31,641.87 = 20,137.86/x
  3. Step 3: Cross multiply
    21,072.66x = 31,641.87 × 20,137.86
  4. Step 4: Simplify right side
    21,072.66x = 637,199,548.20
  5. Step 5: Solve for x
    x = 637,199,548.20/21,072.66
  6. Step 6: Final answer
    x = 30,238.21

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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.