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Finding the Fourth Proportional to 12,177.96, 16,800.69 and 7,396.12

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Solution

The fourth proportional to 12,177.96, 16,800.69 and 7,396.12 is: 10,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.96 : 16,800.69 = 7,396.12 : x
  2. Step 2: Convert to fraction form
    12,177.96/16,800.69 = 7,396.12/x
  3. Step 3: Cross multiply
    12,177.96x = 16,800.69 × 7,396.12
  4. Step 4: Simplify right side
    12,177.96x = 124,259,919.32
  5. Step 5: Solve for x
    x = 124,259,919.32/12,177.96
  6. Step 6: Final answer
    x = 10,203.67

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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.