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Finding the Fourth Proportional to 13,382.50, 18,387.94 and 12,518.64

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Solution

The fourth proportional to 13,382.50, 18,387.94 and 12,518.64 is: 17,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.50 : 18,387.94 = 12,518.64 : x
  2. Step 2: Convert to fraction form
    13,382.50/18,387.94 = 12,518.64/x
  3. Step 3: Cross multiply
    13,382.50x = 18,387.94 × 12,518.64
  4. Step 4: Simplify right side
    13,382.50x = 230,192,001.20
  5. Step 5: Solve for x
    x = 230,192,001.20/13,382.50
  6. Step 6: Final answer
    x = 17,200.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.