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Finding the Fourth Proportional to 12,226.37, 16,882.74 and 7,758.05

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Solution

The fourth proportional to 12,226.37, 16,882.74 and 7,758.05 is: 10,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.37 : 16,882.74 = 7,758.05 : x
  2. Step 2: Convert to fraction form
    12,226.37/16,882.74 = 7,758.05/x
  3. Step 3: Cross multiply
    12,226.37x = 16,882.74 × 7,758.05
  4. Step 4: Simplify right side
    12,226.37x = 130,977,102.27
  5. Step 5: Solve for x
    x = 130,977,102.27/12,226.37
  6. Step 6: Final answer
    x = 10,712.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.