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Finding the Fourth Proportional to 14,344.82, 19,797.70 and 8,057.19

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Solution

The fourth proportional to 14,344.82, 19,797.70 and 8,057.19 is: 11,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.82 : 19,797.70 = 8,057.19 : x
  2. Step 2: Convert to fraction form
    14,344.82/19,797.70 = 8,057.19/x
  3. Step 3: Cross multiply
    14,344.82x = 19,797.70 × 8,057.19
  4. Step 4: Simplify right side
    14,344.82x = 159,513,830.46
  5. Step 5: Solve for x
    x = 159,513,830.46/14,344.82
  6. Step 6: Final answer
    x = 11,119.96

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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.