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Finding the Fourth Proportional to 12,318.24, 18,477.60 and 3,084

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Solution

The fourth proportional to 12,318.24, 18,477.60 and 3,084 is: 4,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.24 : 18,477.60 = 3,084 : x
  2. Step 2: Convert to fraction form
    12,318.24/18,477.60 = 3,084/x
  3. Step 3: Cross multiply
    12,318.24x = 18,477.60 × 3,084
  4. Step 4: Simplify right side
    12,318.24x = 56,984,918.40
  5. Step 5: Solve for x
    x = 56,984,918.40/12,318.24
  6. Step 6: Final answer
    x = 4,626.06

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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.