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Finding the Fourth Proportional to 12,493.36, 18,736.74 and 6,949.72

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Solution

The fourth proportional to 12,493.36, 18,736.74 and 6,949.72 is: 10,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.36 : 18,736.74 = 6,949.72 : x
  2. Step 2: Convert to fraction form
    12,493.36/18,736.74 = 6,949.72/x
  3. Step 3: Cross multiply
    12,493.36x = 18,736.74 × 6,949.72
  4. Step 4: Simplify right side
    12,493.36x = 130,215,096.71
  5. Step 5: Solve for x
    x = 130,215,096.71/12,493.36
  6. Step 6: Final answer
    x = 10,422.74

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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.