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Finding the Fourth Proportional to 12,608.20, 18,926.70 and 7,683.40

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Solution

The fourth proportional to 12,608.20, 18,926.70 and 7,683.40 is: 11,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.20 : 18,926.70 = 7,683.40 : x
  2. Step 2: Convert to fraction form
    12,608.20/18,926.70 = 7,683.40/x
  3. Step 3: Cross multiply
    12,608.20x = 18,926.70 × 7,683.40
  4. Step 4: Simplify right side
    12,608.20x = 145,421,406.78
  5. Step 5: Solve for x
    x = 145,421,406.78/12,608.20
  6. Step 6: Final answer
    x = 11,533.88

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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.