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Finding the Fourth Proportional to 12,285.75, 18,428.63 and 4,077.75

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Solution

The fourth proportional to 12,285.75, 18,428.63 and 4,077.75 is: 6,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.75 : 18,428.63 = 4,077.75 : x
  2. Step 2: Convert to fraction form
    12,285.75/18,428.63 = 4,077.75/x
  3. Step 3: Cross multiply
    12,285.75x = 18,428.63 × 4,077.75
  4. Step 4: Simplify right side
    12,285.75x = 75,147,325.59
  5. Step 5: Solve for x
    x = 75,147,325.59/12,285.75
  6. Step 6: Final answer
    x = 6,116.63

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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.