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Finding the Fourth Proportional to 13,982.15, 19,295.73 and 7,609.10

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Solution

The fourth proportional to 13,982.15, 19,295.73 and 7,609.10 is: 10,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.15 : 19,295.73 = 7,609.10 : x
  2. Step 2: Convert to fraction form
    13,982.15/19,295.73 = 7,609.10/x
  3. Step 3: Cross multiply
    13,982.15x = 19,295.73 × 7,609.10
  4. Step 4: Simplify right side
    13,982.15x = 146,823,187.38
  5. Step 5: Solve for x
    x = 146,823,187.38/13,982.15
  6. Step 6: Final answer
    x = 10,500.76

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Why These Related Problems?

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