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Finding the Fourth Proportional to 14,057.74, 19,399.44 and 7,770.07

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Solution

The fourth proportional to 14,057.74, 19,399.44 and 7,770.07 is: 10,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.74 : 19,399.44 = 7,770.07 : x
  2. Step 2: Convert to fraction form
    14,057.74/19,399.44 = 7,770.07/x
  3. Step 3: Cross multiply
    14,057.74x = 19,399.44 × 7,770.07
  4. Step 4: Simplify right side
    14,057.74x = 150,735,006.76
  5. Step 5: Solve for x
    x = 150,735,006.76/14,057.74
  6. Step 6: Final answer
    x = 10,722.56

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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.