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Finding the Fourth Proportional to 12,420.40, 18,611.40 and 10,769.20

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Solution

The fourth proportional to 12,420.40, 18,611.40 and 10,769.20 is: 16,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.40 : 18,611.40 = 10,769.20 : x
  2. Step 2: Convert to fraction form
    12,420.40/18,611.40 = 10,769.20/x
  3. Step 3: Cross multiply
    12,420.40x = 18,611.40 × 10,769.20
  4. Step 4: Simplify right side
    12,420.40x = 200,429,888.88
  5. Step 5: Solve for x
    x = 200,429,888.88/12,420.40
  6. Step 6: Final answer
    x = 16,137.15

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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.