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Finding the Fourth Proportional to 12,704.50, 19,057.83 and 3,470.50

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Solution

The fourth proportional to 12,704.50, 19,057.83 and 3,470.50 is: 5,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.50 : 19,057.83 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    12,704.50/19,057.83 = 3,470.50/x
  3. Step 3: Cross multiply
    12,704.50x = 19,057.83 × 3,470.50
  4. Step 4: Simplify right side
    12,704.50x = 66,140,199.02
  5. Step 5: Solve for x
    x = 66,140,199.02/12,704.50
  6. Step 6: Final answer
    x = 5,206.05

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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.