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Finding the Fourth Proportional to 14,057.32, 19,400.26 and 7,770.92

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Solution

The fourth proportional to 14,057.32, 19,400.26 and 7,770.92 is: 10,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.32 : 19,400.26 = 7,770.92 : x
  2. Step 2: Convert to fraction form
    14,057.32/19,400.26 = 7,770.92/x
  3. Step 3: Cross multiply
    14,057.32x = 19,400.26 × 7,770.92
  4. Step 4: Simplify right side
    14,057.32x = 150,757,868.44
  5. Step 5: Solve for x
    x = 150,757,868.44/14,057.32
  6. Step 6: Final answer
    x = 10,724.51

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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.