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Finding the Fourth Proportional to 14,107.63, 19,467.77 and 8,138.94

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Solution

The fourth proportional to 14,107.63, 19,467.77 and 8,138.94 is: 11,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.63 : 19,467.77 = 8,138.94 : x
  2. Step 2: Convert to fraction form
    14,107.63/19,467.77 = 8,138.94/x
  3. Step 3: Cross multiply
    14,107.63x = 19,467.77 × 8,138.94
  4. Step 4: Simplify right side
    14,107.63x = 158,447,032.31
  5. Step 5: Solve for x
    x = 158,447,032.31/14,107.63
  6. Step 6: Final answer
    x = 11,231.30

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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.