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Finding the Fourth Proportional to 14,106.08, 19,467 and 8,137.73

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Solution

The fourth proportional to 14,106.08, 19,467 and 8,137.73 is: 11,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.08 : 19,467 = 8,137.73 : x
  2. Step 2: Convert to fraction form
    14,106.08/19,467 = 8,137.73/x
  3. Step 3: Cross multiply
    14,106.08x = 19,467 × 8,137.73
  4. Step 4: Simplify right side
    14,106.08x = 158,417,238.58
  5. Step 5: Solve for x
    x = 158,417,238.58/14,106.08
  6. Step 6: Final answer
    x = 11,230.42

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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.