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Finding the Fourth Proportional to 18,213.80, 25,135.10 and 10,256

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Solution

The fourth proportional to 18,213.80, 25,135.10 and 10,256 is: 14,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213.80 : 25,135.10 = 10,256 : x
  2. Step 2: Convert to fraction form
    18,213.80/25,135.10 = 10,256/x
  3. Step 3: Cross multiply
    18,213.80x = 25,135.10 × 10,256
  4. Step 4: Simplify right side
    18,213.80x = 257,785,585.60
  5. Step 5: Solve for x
    x = 257,785,585.60/18,213.80
  6. Step 6: Final answer
    x = 14,153.31

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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.