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Finding the Fourth Proportional to 14,191.81, 19,584.69 and 8,226.94

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Solution

The fourth proportional to 14,191.81, 19,584.69 and 8,226.94 is: 11,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.81 : 19,584.69 = 8,226.94 : x
  2. Step 2: Convert to fraction form
    14,191.81/19,584.69 = 8,226.94/x
  3. Step 3: Cross multiply
    14,191.81x = 19,584.69 × 8,226.94
  4. Step 4: Simplify right side
    14,191.81x = 161,122,069.55
  5. Step 5: Solve for x
    x = 161,122,069.55/14,191.81
  6. Step 6: Final answer
    x = 11,353.17

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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.