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Finding the Fourth Proportional to 12,309.60, 18,464.40 and 11,119.20

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Solution

The fourth proportional to 12,309.60, 18,464.40 and 11,119.20 is: 16,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.60 : 18,464.40 = 11,119.20 : x
  2. Step 2: Convert to fraction form
    12,309.60/18,464.40 = 11,119.20/x
  3. Step 3: Cross multiply
    12,309.60x = 18,464.40 × 11,119.20
  4. Step 4: Simplify right side
    12,309.60x = 205,309,356.48
  5. Step 5: Solve for x
    x = 205,309,356.48/12,309.60
  6. Step 6: Final answer
    x = 16,678.80

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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.