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Finding the Fourth Proportional to 14,106.83, 19,467.14 and 8,138.34

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Solution

The fourth proportional to 14,106.83, 19,467.14 and 8,138.34 is: 11,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.83 : 19,467.14 = 8,138.34 : x
  2. Step 2: Convert to fraction form
    14,106.83/19,467.14 = 8,138.34/x
  3. Step 3: Cross multiply
    14,106.83x = 19,467.14 × 8,138.34
  4. Step 4: Simplify right side
    14,106.83x = 158,430,163.46
  5. Step 5: Solve for x
    x = 158,430,163.46/14,106.83
  6. Step 6: Final answer
    x = 11,230.75

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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.