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Finding the Fourth Proportional to 14,191.80, 19,584.69 and 8,226.93

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Solution

The fourth proportional to 14,191.80, 19,584.69 and 8,226.93 is: 11,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.80 : 19,584.69 = 8,226.93 : x
  2. Step 2: Convert to fraction form
    14,191.80/19,584.69 = 8,226.93/x
  3. Step 3: Cross multiply
    14,191.80x = 19,584.69 × 8,226.93
  4. Step 4: Simplify right side
    14,191.80x = 161,121,873.70
  5. Step 5: Solve for x
    x = 161,121,873.70/14,191.80
  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.