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Finding the Fourth Proportional to 13,816.44, 19,058.39 and 8,436.42

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Solution

The fourth proportional to 13,816.44, 19,058.39 and 8,436.42 is: 11,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.44 : 19,058.39 = 8,436.42 : x
  2. Step 2: Convert to fraction form
    13,816.44/19,058.39 = 8,436.42/x
  3. Step 3: Cross multiply
    13,816.44x = 19,058.39 × 8,436.42
  4. Step 4: Simplify right side
    13,816.44x = 160,784,540.38
  5. Step 5: Solve for x
    x = 160,784,540.38/13,816.44
  6. Step 6: Final answer
    x = 11,637.19

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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.