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Finding the Fourth Proportional to 12,606.40, 18,909.60 and 10,856.80

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Solution

The fourth proportional to 12,606.40, 18,909.60 and 10,856.80 is: 16,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.40 : 18,909.60 = 10,856.80 : x
  2. Step 2: Convert to fraction form
    12,606.40/18,909.60 = 10,856.80/x
  3. Step 3: Cross multiply
    12,606.40x = 18,909.60 × 10,856.80
  4. Step 4: Simplify right side
    12,606.40x = 205,297,745.28
  5. Step 5: Solve for x
    x = 205,297,745.28/12,606.40
  6. Step 6: Final answer
    x = 16,285.20

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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.