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Finding the Fourth Proportional to 19,571.52, 29,360.79 and 9,183

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Solution

The fourth proportional to 19,571.52, 29,360.79 and 9,183 is: 13,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.52 : 29,360.79 = 9,183 : x
  2. Step 2: Convert to fraction form
    19,571.52/29,360.79 = 9,183/x
  3. Step 3: Cross multiply
    19,571.52x = 29,360.79 × 9,183
  4. Step 4: Simplify right side
    19,571.52x = 269,620,134.57
  5. Step 5: Solve for x
    x = 269,620,134.57/19,571.52
  6. Step 6: Final answer
    x = 13,776.15

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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.