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Finding the Fourth Proportional to 25,563.64, 38,351.54 and 8,033.48

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Solution

The fourth proportional to 25,563.64, 38,351.54 and 8,033.48 is: 12,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.64 : 38,351.54 = 8,033.48 : x
  2. Step 2: Convert to fraction form
    25,563.64/38,351.54 = 8,033.48/x
  3. Step 3: Cross multiply
    25,563.64x = 38,351.54 × 8,033.48
  4. Step 4: Simplify right side
    25,563.64x = 308,096,329.56
  5. Step 5: Solve for x
    x = 308,096,329.56/25,563.64
  6. Step 6: Final answer
    x = 12,052.13

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Why These Related Problems?

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