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Finding the Fourth Proportional to 13,910.82, 19,196.94 and 7,623.20

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Solution

The fourth proportional to 13,910.82, 19,196.94 and 7,623.20 is: 10,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.82 : 19,196.94 = 7,623.20 : x
  2. Step 2: Convert to fraction form
    13,910.82/19,196.94 = 7,623.20/x
  3. Step 3: Cross multiply
    13,910.82x = 19,196.94 × 7,623.20
  4. Step 4: Simplify right side
    13,910.82x = 146,342,113.01
  5. Step 5: Solve for x
    x = 146,342,113.01/13,910.82
  6. Step 6: Final answer
    x = 10,520.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.