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Finding the Fourth Proportional to 12,311.01, 16,969.37 and 8,330.67

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Solution

The fourth proportional to 12,311.01, 16,969.37 and 8,330.67 is: 11,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.01 : 16,969.37 = 8,330.67 : x
  2. Step 2: Convert to fraction form
    12,311.01/16,969.37 = 8,330.67/x
  3. Step 3: Cross multiply
    12,311.01x = 16,969.37 × 8,330.67
  4. Step 4: Simplify right side
    12,311.01x = 141,366,179.92
  5. Step 5: Solve for x
    x = 141,366,179.92/12,311.01
  6. Step 6: Final answer
    x = 11,482.91

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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.