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Finding the Fourth Proportional to 25,506.38, 38,260.94 and 7,977.57

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Solution

The fourth proportional to 25,506.38, 38,260.94 and 7,977.57 is: 11,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.38 : 38,260.94 = 7,977.57 : x
  2. Step 2: Convert to fraction form
    25,506.38/38,260.94 = 7,977.57/x
  3. Step 3: Cross multiply
    25,506.38x = 38,260.94 × 7,977.57
  4. Step 4: Simplify right side
    25,506.38x = 305,229,287.23
  5. Step 5: Solve for x
    x = 305,229,287.23/25,506.38
  6. Step 6: Final answer
    x = 11,966.78

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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.