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Finding the Fourth Proportional to 18,505, 25,537.31 and 10,121.50

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Solution

The fourth proportional to 18,505, 25,537.31 and 10,121.50 is: 13,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505 : 25,537.31 = 10,121.50 : x
  2. Step 2: Convert to fraction form
    18,505/25,537.31 = 10,121.50/x
  3. Step 3: Cross multiply
    18,505x = 25,537.31 × 10,121.50
  4. Step 4: Simplify right side
    18,505x = 258,475,883.17
  5. Step 5: Solve for x
    x = 258,475,883.17/18,505
  6. Step 6: Final answer
    x = 13,967.89

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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.