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Finding the Fourth Proportional to 13,038.92, 19,563.23 and 7,193.96

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Solution

The fourth proportional to 13,038.92, 19,563.23 and 7,193.96 is: 10,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.92 : 19,563.23 = 7,193.96 : x
  2. Step 2: Convert to fraction form
    13,038.92/19,563.23 = 7,193.96/x
  3. Step 3: Cross multiply
    13,038.92x = 19,563.23 × 7,193.96
  4. Step 4: Simplify right side
    13,038.92x = 140,737,014.26
  5. Step 5: Solve for x
    x = 140,737,014.26/13,038.92
  6. Step 6: Final answer
    x = 10,793.61

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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.