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Finding the Fourth Proportional to 18,349, 25,321.62 and 10,897

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Solution

The fourth proportional to 18,349, 25,321.62 and 10,897 is: 15,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349 : 25,321.62 = 10,897 : x
  2. Step 2: Convert to fraction form
    18,349/25,321.62 = 10,897/x
  3. Step 3: Cross multiply
    18,349x = 25,321.62 × 10,897
  4. Step 4: Simplify right side
    18,349x = 275,929,693.14
  5. Step 5: Solve for x
    x = 275,929,693.14/18,349
  6. Step 6: Final answer
    x = 15,037.86

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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.