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Finding the Fourth Proportional to 19,643.93, 29,453.22 and 8,406.61

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Solution

The fourth proportional to 19,643.93, 29,453.22 and 8,406.61 is: 12,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.93 : 29,453.22 = 8,406.61 : x
  2. Step 2: Convert to fraction form
    19,643.93/29,453.22 = 8,406.61/x
  3. Step 3: Cross multiply
    19,643.93x = 29,453.22 × 8,406.61
  4. Step 4: Simplify right side
    19,643.93x = 247,601,733.78
  5. Step 5: Solve for x
    x = 247,601,733.78/19,643.93
  6. Step 6: Final answer
    x = 12,604.49

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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.