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Finding the Fourth Proportional to 12,435.87, 18,654.74 and 4,121.76

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Solution

The fourth proportional to 12,435.87, 18,654.74 and 4,121.76 is: 6,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.87 : 18,654.74 = 4,121.76 : x
  2. Step 2: Convert to fraction form
    12,435.87/18,654.74 = 4,121.76/x
  3. Step 3: Cross multiply
    12,435.87x = 18,654.74 × 4,121.76
  4. Step 4: Simplify right side
    12,435.87x = 76,890,340.53
  5. Step 5: Solve for x
    x = 76,890,340.53/12,435.87
  6. Step 6: Final answer
    x = 6,182.95

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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.