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Finding the Fourth Proportional to 19,847.08, 27,392.34 and 11,468.44

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Solution

The fourth proportional to 19,847.08, 27,392.34 and 11,468.44 is: 15,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.08 : 27,392.34 = 11,468.44 : x
  2. Step 2: Convert to fraction form
    19,847.08/27,392.34 = 11,468.44/x
  3. Step 3: Cross multiply
    19,847.08x = 27,392.34 × 11,468.44
  4. Step 4: Simplify right side
    19,847.08x = 314,147,407.75
  5. Step 5: Solve for x
    x = 314,147,407.75/19,847.08
  6. Step 6: Final answer
    x = 15,828.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.