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Finding the Fourth Proportional to 12,296.00, 16,969.26 and 7,258.85

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Solution

The fourth proportional to 12,296.00, 16,969.26 and 7,258.85 is: 10,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.00 : 16,969.26 = 7,258.85 : x
  2. Step 2: Convert to fraction form
    12,296.00/16,969.26 = 7,258.85/x
  3. Step 3: Cross multiply
    12,296.00x = 16,969.26 × 7,258.85
  4. Step 4: Simplify right side
    12,296.00x = 123,177,318.96
  5. Step 5: Solve for x
    x = 123,177,318.96/12,296.00
  6. Step 6: Final answer
    x = 10,017.67

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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.