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Finding the Fourth Proportional to 25,563.84, 38,351.91 and 8,033.66

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Solution

The fourth proportional to 25,563.84, 38,351.91 and 8,033.66 is: 12,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.84 : 38,351.91 = 8,033.66 : x
  2. Step 2: Convert to fraction form
    25,563.84/38,351.91 = 8,033.66/x
  3. Step 3: Cross multiply
    25,563.84x = 38,351.91 × 8,033.66
  4. Step 4: Simplify right side
    25,563.84x = 308,106,013.53
  5. Step 5: Solve for x
    x = 308,106,013.53/25,563.84
  6. Step 6: Final answer
    x = 12,052.42

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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.