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Finding the Fourth Proportional to 17,231.58, 25,848 and 6,134.18

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Solution

The fourth proportional to 17,231.58, 25,848 and 6,134.18 is: 9,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.58 : 25,848 = 6,134.18 : x
  2. Step 2: Convert to fraction form
    17,231.58/25,848 = 6,134.18/x
  3. Step 3: Cross multiply
    17,231.58x = 25,848 × 6,134.18
  4. Step 4: Simplify right side
    17,231.58x = 158,556,155.40
  5. Step 5: Solve for x
    x = 158,556,155.40/17,231.58
  6. Step 6: Final answer
    x = 9,201.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.