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Finding the Fourth Proportional to 14,080.43, 19,429.68 and 8,414.06

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Solution

The fourth proportional to 14,080.43, 19,429.68 and 8,414.06 is: 11,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.43 : 19,429.68 = 8,414.06 : x
  2. Step 2: Convert to fraction form
    14,080.43/19,429.68 = 8,414.06/x
  3. Step 3: Cross multiply
    14,080.43x = 19,429.68 × 8,414.06
  4. Step 4: Simplify right side
    14,080.43x = 163,482,396.15
  5. Step 5: Solve for x
    x = 163,482,396.15/14,080.43
  6. Step 6: Final answer
    x = 11,610.61

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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.