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Finding the Fourth Proportional to 13,730.91, 20,600.48 and 7,161.72

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Solution

The fourth proportional to 13,730.91, 20,600.48 and 7,161.72 is: 10,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.91 : 20,600.48 = 7,161.72 : x
  2. Step 2: Convert to fraction form
    13,730.91/20,600.48 = 7,161.72/x
  3. Step 3: Cross multiply
    13,730.91x = 20,600.48 × 7,161.72
  4. Step 4: Simplify right side
    13,730.91x = 147,534,833.82
  5. Step 5: Solve for x
    x = 147,534,833.82/13,730.91
  6. Step 6: Final answer
    x = 10,744.72

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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.