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Finding the Fourth Proportional to 14,069.25, 19,414.94 and 8,099.65

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Solution

The fourth proportional to 14,069.25, 19,414.94 and 8,099.65 is: 11,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.25 : 19,414.94 = 8,099.65 : x
  2. Step 2: Convert to fraction form
    14,069.25/19,414.94 = 8,099.65/x
  3. Step 3: Cross multiply
    14,069.25x = 19,414.94 × 8,099.65
  4. Step 4: Simplify right side
    14,069.25x = 157,254,218.77
  5. Step 5: Solve for x
    x = 157,254,218.77/14,069.25
  6. Step 6: Final answer
    x = 11,177.16

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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.