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Finding the Fourth Proportional to 20,872.64, 31,289.52 and 10,472.32

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Solution

The fourth proportional to 20,872.64, 31,289.52 and 10,472.32 is: 15,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.64 : 31,289.52 = 10,472.32 : x
  2. Step 2: Convert to fraction form
    20,872.64/31,289.52 = 10,472.32/x
  3. Step 3: Cross multiply
    20,872.64x = 31,289.52 × 10,472.32
  4. Step 4: Simplify right side
    20,872.64x = 327,673,866.09
  5. Step 5: Solve for x
    x = 327,673,866.09/20,872.64
  6. Step 6: Final answer
    x = 15,698.73

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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.