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Finding the Fourth Proportional to 18,274.72, 27,409.92 and 7,189.60

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Solution

The fourth proportional to 18,274.72, 27,409.92 and 7,189.60 is: 10,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.72 : 27,409.92 = 7,189.60 : x
  2. Step 2: Convert to fraction form
    18,274.72/27,409.92 = 7,189.60/x
  3. Step 3: Cross multiply
    18,274.72x = 27,409.92 × 7,189.60
  4. Step 4: Simplify right side
    18,274.72x = 197,066,360.83
  5. Step 5: Solve for x
    x = 197,066,360.83/18,274.72
  6. Step 6: Final answer
    x = 10,783.55

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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.