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Finding the Fourth Proportional to 13,855.90, 19,096.42 and 10,490.66

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Solution

The fourth proportional to 13,855.90, 19,096.42 and 10,490.66 is: 14,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.90 : 19,096.42 = 10,490.66 : x
  2. Step 2: Convert to fraction form
    13,855.90/19,096.42 = 10,490.66/x
  3. Step 3: Cross multiply
    13,855.90x = 19,096.42 × 10,490.66
  4. Step 4: Simplify right side
    13,855.90x = 200,334,049.44
  5. Step 5: Solve for x
    x = 200,334,049.44/13,855.90
  6. Step 6: Final answer
    x = 14,458.39

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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.