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Finding the Fourth Proportional to 13,424.72, 18,524.74 and 7,838.96

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Solution

The fourth proportional to 13,424.72, 18,524.74 and 7,838.96 is: 10,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.72 : 18,524.74 = 7,838.96 : x
  2. Step 2: Convert to fraction form
    13,424.72/18,524.74 = 7,838.96/x
  3. Step 3: Cross multiply
    13,424.72x = 18,524.74 × 7,838.96
  4. Step 4: Simplify right side
    13,424.72x = 145,214,695.87
  5. Step 5: Solve for x
    x = 145,214,695.87/13,424.72
  6. Step 6: Final answer
    x = 10,816.96

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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.