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Finding the Fourth Proportional to 25,694.38, 38,533.37 and 8,160.11

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Solution

The fourth proportional to 25,694.38, 38,533.37 and 8,160.11 is: 12,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.38 : 38,533.37 = 8,160.11 : x
  2. Step 2: Convert to fraction form
    25,694.38/38,533.37 = 8,160.11/x
  3. Step 3: Cross multiply
    25,694.38x = 38,533.37 × 8,160.11
  4. Step 4: Simplify right side
    25,694.38x = 314,436,304.40
  5. Step 5: Solve for x
    x = 314,436,304.40/25,694.38
  6. Step 6: Final answer
    x = 12,237.55

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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.