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Finding the Fourth Proportional to 13,024.80, 17,974.20 and 7,056.62

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Solution

The fourth proportional to 13,024.80, 17,974.20 and 7,056.62 is: 9,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.80 : 17,974.20 = 7,056.62 : x
  2. Step 2: Convert to fraction form
    13,024.80/17,974.20 = 7,056.62/x
  3. Step 3: Cross multiply
    13,024.80x = 17,974.20 × 7,056.62
  4. Step 4: Simplify right side
    13,024.80x = 126,837,099.20
  5. Step 5: Solve for x
    x = 126,837,099.20/13,024.80
  6. Step 6: Final answer
    x = 9,738.12

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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.