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Finding the Fourth Proportional to 13,019.34, 17,968.47 and 7,982.67

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Solution

The fourth proportional to 13,019.34, 17,968.47 and 7,982.67 is: 11,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.34 : 17,968.47 = 7,982.67 : x
  2. Step 2: Convert to fraction form
    13,019.34/17,968.47 = 7,982.67/x
  3. Step 3: Cross multiply
    13,019.34x = 17,968.47 × 7,982.67
  4. Step 4: Simplify right side
    13,019.34x = 143,436,366.41
  5. Step 5: Solve for x
    x = 143,436,366.41/13,019.34
  6. Step 6: Final answer
    x = 11,017.18

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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.