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Finding the Fourth Proportional to 13,096.20, 19,644.95 and 3,737.60

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Solution

The fourth proportional to 13,096.20, 19,644.95 and 3,737.60 is: 5,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.20 : 19,644.95 = 3,737.60 : x
  2. Step 2: Convert to fraction form
    13,096.20/19,644.95 = 3,737.60/x
  3. Step 3: Cross multiply
    13,096.20x = 19,644.95 × 3,737.60
  4. Step 4: Simplify right side
    13,096.20x = 73,424,965.12
  5. Step 5: Solve for x
    x = 73,424,965.12/13,096.20
  6. Step 6: Final answer
    x = 5,606.59

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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.