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Finding the Fourth Proportional to 12,311.87, 17,004.53 and 8,969.63

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Solution

The fourth proportional to 12,311.87, 17,004.53 and 8,969.63 is: 12,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.87 : 17,004.53 = 8,969.63 : x
  2. Step 2: Convert to fraction form
    12,311.87/17,004.53 = 8,969.63/x
  3. Step 3: Cross multiply
    12,311.87x = 17,004.53 × 8,969.63
  4. Step 4: Simplify right side
    12,311.87x = 152,524,342.42
  5. Step 5: Solve for x
    x = 152,524,342.42/12,311.87
  6. Step 6: Final answer
    x = 12,388.40

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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.