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Finding the Fourth Proportional to 12,984.40, 19,469.40 and 5,587.60

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Solution

The fourth proportional to 12,984.40, 19,469.40 and 5,587.60 is: 8,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.40 : 19,469.40 = 5,587.60 : x
  2. Step 2: Convert to fraction form
    12,984.40/19,469.40 = 5,587.60/x
  3. Step 3: Cross multiply
    12,984.40x = 19,469.40 × 5,587.60
  4. Step 4: Simplify right side
    12,984.40x = 108,787,219.44
  5. Step 5: Solve for x
    x = 108,787,219.44/12,984.40
  6. Step 6: Final answer
    x = 8,378.30

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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.