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Finding the Fourth Proportional to 12,920.70, 19,368.66 and 4,149.60

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Solution

The fourth proportional to 12,920.70, 19,368.66 and 4,149.60 is: 6,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.70 : 19,368.66 = 4,149.60 : x
  2. Step 2: Convert to fraction form
    12,920.70/19,368.66 = 4,149.60/x
  3. Step 3: Cross multiply
    12,920.70x = 19,368.66 × 4,149.60
  4. Step 4: Simplify right side
    12,920.70x = 80,372,191.54
  5. Step 5: Solve for x
    x = 80,372,191.54/12,920.70
  6. Step 6: Final answer
    x = 6,220.42

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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.