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Finding the Fourth Proportional to 25,361.87, 38,046.90 and 7,827.59

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Solution

The fourth proportional to 25,361.87, 38,046.90 and 7,827.59 is: 11,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,361.87 : 38,046.90 = 7,827.59 : x
  2. Step 2: Convert to fraction form
    25,361.87/38,046.90 = 7,827.59/x
  3. Step 3: Cross multiply
    25,361.87x = 38,046.90 × 7,827.59
  4. Step 4: Simplify right side
    25,361.87x = 297,815,533.97
  5. Step 5: Solve for x
    x = 297,815,533.97/25,361.87
  6. Step 6: Final answer
    x = 11,742.65

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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.