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Finding the Fourth Proportional to 12,984.34, 17,919.33 and 7,319.62

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Solution

The fourth proportional to 12,984.34, 17,919.33 and 7,319.62 is: 10,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.34 : 17,919.33 = 7,319.62 : x
  2. Step 2: Convert to fraction form
    12,984.34/17,919.33 = 7,319.62/x
  3. Step 3: Cross multiply
    12,984.34x = 17,919.33 × 7,319.62
  4. Step 4: Simplify right side
    12,984.34x = 131,162,626.73
  5. Step 5: Solve for x
    x = 131,162,626.73/12,984.34
  6. Step 6: Final answer
    x = 10,101.60

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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.