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Finding the Fourth Proportional to 13,009.92, 19,512.67 and 3,647.79

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Solution

The fourth proportional to 13,009.92, 19,512.67 and 3,647.79 is: 5,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.92 : 19,512.67 = 3,647.79 : x
  2. Step 2: Convert to fraction form
    13,009.92/19,512.67 = 3,647.79/x
  3. Step 3: Cross multiply
    13,009.92x = 19,512.67 × 3,647.79
  4. Step 4: Simplify right side
    13,009.92x = 71,178,122.50
  5. Step 5: Solve for x
    x = 71,178,122.50/13,009.92
  6. Step 6: Final answer
    x = 5,471.07

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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.