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Finding the Fourth Proportional to 17,641.96, 26,462.92 and 13,749.28

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Solution

The fourth proportional to 17,641.96, 26,462.92 and 13,749.28 is: 20,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.96 : 26,462.92 = 13,749.28 : x
  2. Step 2: Convert to fraction form
    17,641.96/26,462.92 = 13,749.28/x
  3. Step 3: Cross multiply
    17,641.96x = 26,462.92 × 13,749.28
  4. Step 4: Simplify right side
    17,641.96x = 363,846,096.70
  5. Step 5: Solve for x
    x = 363,846,096.70/17,641.96
  6. Step 6: Final answer
    x = 20,623.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.