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Finding the Fourth Proportional to 12,697.70, 19,050.46 and 5,683.60

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Solution

The fourth proportional to 12,697.70, 19,050.46 and 5,683.60 is: 8,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.70 : 19,050.46 = 5,683.60 : x
  2. Step 2: Convert to fraction form
    12,697.70/19,050.46 = 5,683.60/x
  3. Step 3: Cross multiply
    12,697.70x = 19,050.46 × 5,683.60
  4. Step 4: Simplify right side
    12,697.70x = 108,275,194.46
  5. Step 5: Solve for x
    x = 108,275,194.46/12,697.70
  6. Step 6: Final answer
    x = 8,527.15

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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.