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Finding the Fourth Proportional to 12,318.63, 18,477.95 and 7,382.09

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Solution

The fourth proportional to 12,318.63, 18,477.95 and 7,382.09 is: 11,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.63 : 18,477.95 = 7,382.09 : x
  2. Step 2: Convert to fraction form
    12,318.63/18,477.95 = 7,382.09/x
  3. Step 3: Cross multiply
    12,318.63x = 18,477.95 × 7,382.09
  4. Step 4: Simplify right side
    12,318.63x = 136,405,760.62
  5. Step 5: Solve for x
    x = 136,405,760.62/12,318.63
  6. Step 6: Final answer
    x = 11,073.13

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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.