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Finding the Fourth Proportional to 18,502.60, 27,768.48 and 6,824.02

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Solution

The fourth proportional to 18,502.60, 27,768.48 and 6,824.02 is: 10,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.60 : 27,768.48 = 6,824.02 : x
  2. Step 2: Convert to fraction form
    18,502.60/27,768.48 = 6,824.02/x
  3. Step 3: Cross multiply
    18,502.60x = 27,768.48 × 6,824.02
  4. Step 4: Simplify right side
    18,502.60x = 189,492,662.89
  5. Step 5: Solve for x
    x = 189,492,662.89/18,502.60
  6. Step 6: Final answer
    x = 10,241.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.