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Finding the Fourth Proportional to 25,720.10, 38,583 and 8,185.85

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Solution

The fourth proportional to 25,720.10, 38,583 and 8,185.85 is: 12,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.10 : 38,583 = 8,185.85 : x
  2. Step 2: Convert to fraction form
    25,720.10/38,583 = 8,185.85/x
  3. Step 3: Cross multiply
    25,720.10x = 38,583 × 8,185.85
  4. Step 4: Simplify right side
    25,720.10x = 315,834,650.55
  5. Step 5: Solve for x
    x = 315,834,650.55/25,720.10
  6. Step 6: Final answer
    x = 12,279.68

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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.