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Finding the Fourth Proportional to 18,270.96, 27,401.64 and 7,880.40

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Solution

The fourth proportional to 18,270.96, 27,401.64 and 7,880.40 is: 11,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.96 : 27,401.64 = 7,880.40 : x
  2. Step 2: Convert to fraction form
    18,270.96/27,401.64 = 7,880.40/x
  3. Step 3: Cross multiply
    18,270.96x = 27,401.64 × 7,880.40
  4. Step 4: Simplify right side
    18,270.96x = 215,935,883.86
  5. Step 5: Solve for x
    x = 215,935,883.86/18,270.96
  6. Step 6: Final answer
    x = 11,818.53

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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.