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Finding the Fourth Proportional to 12,280.74, 18,405.36 and 8,940.53

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Solution

The fourth proportional to 12,280.74, 18,405.36 and 8,940.53 is: 13,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.74 : 18,405.36 = 8,940.53 : x
  2. Step 2: Convert to fraction form
    12,280.74/18,405.36 = 8,940.53/x
  3. Step 3: Cross multiply
    12,280.74x = 18,405.36 × 8,940.53
  4. Step 4: Simplify right side
    12,280.74x = 164,553,581.21
  5. Step 5: Solve for x
    x = 164,553,581.21/12,280.74
  6. Step 6: Final answer
    x = 13,399.32

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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.