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Finding the Fourth Proportional to 18,321.56, 25,283.70 and 9,938

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Solution

The fourth proportional to 18,321.56, 25,283.70 and 9,938 is: 13,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,321.56 : 25,283.70 = 9,938 : x
  2. Step 2: Convert to fraction form
    18,321.56/25,283.70 = 9,938/x
  3. Step 3: Cross multiply
    18,321.56x = 25,283.70 × 9,938
  4. Step 4: Simplify right side
    18,321.56x = 251,269,410.60
  5. Step 5: Solve for x
    x = 251,269,410.60/18,321.56
  6. Step 6: Final answer
    x = 13,714.41

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Why These Related Problems?

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