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Finding the Fourth Proportional to 25,114.36, 37,661.88 and 8,469.94

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Solution

The fourth proportional to 25,114.36, 37,661.88 and 8,469.94 is: 12,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.36 : 37,661.88 = 8,469.94 : x
  2. Step 2: Convert to fraction form
    25,114.36/37,661.88 = 8,469.94/x
  3. Step 3: Cross multiply
    25,114.36x = 37,661.88 × 8,469.94
  4. Step 4: Simplify right side
    25,114.36x = 318,993,863.89
  5. Step 5: Solve for x
    x = 318,993,863.89/25,114.36
  6. Step 6: Final answer
    x = 12,701.65

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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.