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Finding the Fourth Proportional to 12,986.73, 19,475.76 and 4,219.50

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Solution

The fourth proportional to 12,986.73, 19,475.76 and 4,219.50 is: 6,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.73 : 19,475.76 = 4,219.50 : x
  2. Step 2: Convert to fraction form
    12,986.73/19,475.76 = 4,219.50/x
  3. Step 3: Cross multiply
    12,986.73x = 19,475.76 × 4,219.50
  4. Step 4: Simplify right side
    12,986.73x = 82,177,969.32
  5. Step 5: Solve for x
    x = 82,177,969.32/12,986.73
  6. Step 6: Final answer
    x = 6,327.84

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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.