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Finding the Fourth Proportional to 13,024.12, 17,974.36 and 7,359.88

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Solution

The fourth proportional to 13,024.12, 17,974.36 and 7,359.88 is: 10,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.12 : 17,974.36 = 7,359.88 : x
  2. Step 2: Convert to fraction form
    13,024.12/17,974.36 = 7,359.88/x
  3. Step 3: Cross multiply
    13,024.12x = 17,974.36 × 7,359.88
  4. Step 4: Simplify right side
    13,024.12x = 132,289,132.68
  5. Step 5: Solve for x
    x = 132,289,132.68/13,024.12
  6. Step 6: Final answer
    x = 10,157.24

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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.