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Finding the Fourth Proportional to 10,223.64, 15,321.69 and 4,674.09

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Solution

The fourth proportional to 10,223.64, 15,321.69 and 4,674.09 is: 7,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.64 : 15,321.69 = 4,674.09 : x
  2. Step 2: Convert to fraction form
    10,223.64/15,321.69 = 4,674.09/x
  3. Step 3: Cross multiply
    10,223.64x = 15,321.69 × 4,674.09
  4. Step 4: Simplify right side
    10,223.64x = 71,614,958.01
  5. Step 5: Solve for x
    x = 71,614,958.01/10,223.64
  6. Step 6: Final answer
    x = 7,004.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.