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Finding the Fourth Proportional to 12,585.75, 18,882.74 and 3,820.67

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Solution

The fourth proportional to 12,585.75, 18,882.74 and 3,820.67 is: 5,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.75 : 18,882.74 = 3,820.67 : x
  2. Step 2: Convert to fraction form
    12,585.75/18,882.74 = 3,820.67/x
  3. Step 3: Cross multiply
    12,585.75x = 18,882.74 × 3,820.67
  4. Step 4: Simplify right side
    12,585.75x = 72,144,774.99
  5. Step 5: Solve for x
    x = 72,144,774.99/12,585.75
  6. Step 6: Final answer
    x = 5,732.26

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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.