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Finding the Fourth Proportional to 27,778.79, 41,671.83 and 9,052.26

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Solution

The fourth proportional to 27,778.79, 41,671.83 and 9,052.26 is: 13,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.79 : 41,671.83 = 9,052.26 : x
  2. Step 2: Convert to fraction form
    27,778.79/41,671.83 = 9,052.26/x
  3. Step 3: Cross multiply
    27,778.79x = 41,671.83 × 9,052.26
  4. Step 4: Simplify right side
    27,778.79x = 377,224,173.89
  5. Step 5: Solve for x
    x = 377,224,173.89/27,778.79
  6. Step 6: Final answer
    x = 13,579.58

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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.