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Finding the Fourth Proportional to 20,720.41, 31,082.64 and 8,237.63

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Solution

The fourth proportional to 20,720.41, 31,082.64 and 8,237.63 is: 12,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.41 : 31,082.64 = 8,237.63 : x
  2. Step 2: Convert to fraction form
    20,720.41/31,082.64 = 8,237.63/x
  3. Step 3: Cross multiply
    20,720.41x = 31,082.64 × 8,237.63
  4. Step 4: Simplify right side
    20,720.41x = 256,047,334.56
  5. Step 5: Solve for x
    x = 256,047,334.56/20,720.41
  6. Step 6: Final answer
    x = 12,357.25

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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.