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Finding the Fourth Proportional to 13,096.98, 19,645.77 and 3,737.83

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Solution

The fourth proportional to 13,096.98, 19,645.77 and 3,737.83 is: 5,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.98 : 19,645.77 = 3,737.83 : x
  2. Step 2: Convert to fraction form
    13,096.98/19,645.77 = 3,737.83/x
  3. Step 3: Cross multiply
    13,096.98x = 19,645.77 × 3,737.83
  4. Step 4: Simplify right side
    13,096.98x = 73,432,548.48
  5. Step 5: Solve for x
    x = 73,432,548.48/13,096.98
  6. Step 6: Final answer
    x = 5,606.83

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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.