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Finding the Fourth Proportional to 14,057.46, 19,400.16 and 7,769.82

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Solution

The fourth proportional to 14,057.46, 19,400.16 and 7,769.82 is: 10,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.46 : 19,400.16 = 7,769.82 : x
  2. Step 2: Convert to fraction form
    14,057.46/19,400.16 = 7,769.82/x
  3. Step 3: Cross multiply
    14,057.46x = 19,400.16 × 7,769.82
  4. Step 4: Simplify right side
    14,057.46x = 150,735,751.17
  5. Step 5: Solve for x
    x = 150,735,751.17/14,057.46
  6. Step 6: Final answer
    x = 10,722.83

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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.