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Finding the Fourth Proportional to 13,014.80, 19,522.14 and 10,057.54

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Solution

The fourth proportional to 13,014.80, 19,522.14 and 10,057.54 is: 15,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.80 : 19,522.14 = 10,057.54 : x
  2. Step 2: Convert to fraction form
    13,014.80/19,522.14 = 10,057.54/x
  3. Step 3: Cross multiply
    13,014.80x = 19,522.14 × 10,057.54
  4. Step 4: Simplify right side
    13,014.80x = 196,344,703.94
  5. Step 5: Solve for x
    x = 196,344,703.94/13,014.80
  6. Step 6: Final answer
    x = 15,086.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.