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Finding the Fourth Proportional to 14,103.83, 19,462.60 and 8,137.42

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Solution

The fourth proportional to 14,103.83, 19,462.60 and 8,137.42 is: 11,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.83 : 19,462.60 = 8,137.42 : x
  2. Step 2: Convert to fraction form
    14,103.83/19,462.60 = 8,137.42/x
  3. Step 3: Cross multiply
    14,103.83x = 19,462.60 × 8,137.42
  4. Step 4: Simplify right side
    14,103.83x = 158,375,281.49
  5. Step 5: Solve for x
    x = 158,375,281.49/14,103.83
  6. Step 6: Final answer
    x = 11,229.24

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