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Finding the Fourth Proportional to 14,194.94, 19,589.04 and 8,230.08

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Solution

The fourth proportional to 14,194.94, 19,589.04 and 8,230.08 is: 11,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.94 : 19,589.04 = 8,230.08 : x
  2. Step 2: Convert to fraction form
    14,194.94/19,589.04 = 8,230.08/x
  3. Step 3: Cross multiply
    14,194.94x = 19,589.04 × 8,230.08
  4. Step 4: Simplify right side
    14,194.94x = 161,219,366.32
  5. Step 5: Solve for x
    x = 161,219,366.32/14,194.94
  6. Step 6: Final answer
    x = 11,357.52

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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.