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Finding the Fourth Proportional to 13,843.66, 19,096 and 8,534.52

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Solution

The fourth proportional to 13,843.66, 19,096 and 8,534.52 is: 11,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.66 : 19,096 = 8,534.52 : x
  2. Step 2: Convert to fraction form
    13,843.66/19,096 = 8,534.52/x
  3. Step 3: Cross multiply
    13,843.66x = 19,096 × 8,534.52
  4. Step 4: Simplify right side
    13,843.66x = 162,975,193.92
  5. Step 5: Solve for x
    x = 162,975,193.92/13,843.66
  6. Step 6: Final answer
    x = 11,772.55

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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.