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Finding the Fourth Proportional to 20,737.86, 31,082.70 and 11,859.46

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Solution

The fourth proportional to 20,737.86, 31,082.70 and 11,859.46 is: 17,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.86 : 31,082.70 = 11,859.46 : x
  2. Step 2: Convert to fraction form
    20,737.86/31,082.70 = 11,859.46/x
  3. Step 3: Cross multiply
    20,737.86x = 31,082.70 × 11,859.46
  4. Step 4: Simplify right side
    20,737.86x = 368,624,037.34
  5. Step 5: Solve for x
    x = 368,624,037.34/20,737.86
  6. Step 6: Final answer
    x = 17,775.41

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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.