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Finding the Fourth Proportional to 18,441.60, 27,662.40 and 6,129.60

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Solution

The fourth proportional to 18,441.60, 27,662.40 and 6,129.60 is: 9,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,441.60 : 27,662.40 = 6,129.60 : x
  2. Step 2: Convert to fraction form
    18,441.60/27,662.40 = 6,129.60/x
  3. Step 3: Cross multiply
    18,441.60x = 27,662.40 × 6,129.60
  4. Step 4: Simplify right side
    18,441.60x = 169,559,447.04
  5. Step 5: Solve for x
    x = 169,559,447.04/18,441.60
  6. Step 6: Final answer
    x = 9,194.40

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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.