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Finding the Fourth Proportional to 13,096.42, 19,645.28 and 3,737.82

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Solution

The fourth proportional to 13,096.42, 19,645.28 and 3,737.82 is: 5,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.42 : 19,645.28 = 3,737.82 : x
  2. Step 2: Convert to fraction form
    13,096.42/19,645.28 = 3,737.82/x
  3. Step 3: Cross multiply
    13,096.42x = 19,645.28 × 3,737.82
  4. Step 4: Simplify right side
    13,096.42x = 73,430,520.49
  5. Step 5: Solve for x
    x = 73,430,520.49/13,096.42
  6. Step 6: Final answer
    x = 5,606.92

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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.