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Finding the Fourth Proportional to 14,080.94, 19,430.37 and 8,414.56

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Solution

The fourth proportional to 14,080.94, 19,430.37 and 8,414.56 is: 11,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.94 : 19,430.37 = 8,414.56 : x
  2. Step 2: Convert to fraction form
    14,080.94/19,430.37 = 8,414.56/x
  3. Step 3: Cross multiply
    14,080.94x = 19,430.37 × 8,414.56
  4. Step 4: Simplify right side
    14,080.94x = 163,497,917.04
  5. Step 5: Solve for x
    x = 163,497,917.04/14,080.94
  6. Step 6: Final answer
    x = 11,611.30

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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.