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Finding the Fourth Proportional to 13,043.63, 18,000.33 and 7,378.43

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Solution

The fourth proportional to 13,043.63, 18,000.33 and 7,378.43 is: 10,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.63 : 18,000.33 = 7,378.43 : x
  2. Step 2: Convert to fraction form
    13,043.63/18,000.33 = 7,378.43/x
  3. Step 3: Cross multiply
    13,043.63x = 18,000.33 × 7,378.43
  4. Step 4: Simplify right side
    13,043.63x = 132,814,057.21
  5. Step 5: Solve for x
    x = 132,814,057.21/13,043.63
  6. Step 6: Final answer
    x = 10,182.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.