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Finding the Fourth Proportional to 17,982.34, 26,975.12 and 4,834.42

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Solution

The fourth proportional to 17,982.34, 26,975.12 and 4,834.42 is: 7,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.34 : 26,975.12 = 4,834.42 : x
  2. Step 2: Convert to fraction form
    17,982.34/26,975.12 = 4,834.42/x
  3. Step 3: Cross multiply
    17,982.34x = 26,975.12 × 4,834.42
  4. Step 4: Simplify right side
    17,982.34x = 130,409,059.63
  5. Step 5: Solve for x
    x = 130,409,059.63/17,982.34
  6. Step 6: Final answer
    x = 7,252.06

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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.