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Finding the Fourth Proportional to 14,110.30, 19,467.84 and 8,141.20

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Solution

The fourth proportional to 14,110.30, 19,467.84 and 8,141.20 is: 11,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.30 : 19,467.84 = 8,141.20 : x
  2. Step 2: Convert to fraction form
    14,110.30/19,467.84 = 8,141.20/x
  3. Step 3: Cross multiply
    14,110.30x = 19,467.84 × 8,141.20
  4. Step 4: Simplify right side
    14,110.30x = 158,491,579.01
  5. Step 5: Solve for x
    x = 158,491,579.01/14,110.30
  6. Step 6: Final answer
    x = 11,232.33

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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.