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Finding the Fourth Proportional to 12,585.15, 18,880.47 and 3,820.75

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Solution

The fourth proportional to 12,585.15, 18,880.47 and 3,820.75 is: 5,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.15 : 18,880.47 = 3,820.75 : x
  2. Step 2: Convert to fraction form
    12,585.15/18,880.47 = 3,820.75/x
  3. Step 3: Cross multiply
    12,585.15x = 18,880.47 × 3,820.75
  4. Step 4: Simplify right side
    12,585.15x = 72,137,508.55
  5. Step 5: Solve for x
    x = 72,137,508.55/12,585.15
  6. Step 6: Final answer
    x = 5,731.95

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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.