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Finding the Fourth Proportional to 17,244, 25,878.15 and 6,858.18

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Solution

The fourth proportional to 17,244, 25,878.15 and 6,858.18 is: 10,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,244 : 25,878.15 = 6,858.18 : x
  2. Step 2: Convert to fraction form
    17,244/25,878.15 = 6,858.18/x
  3. Step 3: Cross multiply
    17,244x = 25,878.15 × 6,858.18
  4. Step 4: Simplify right side
    17,244x = 177,477,010.77
  5. Step 5: Solve for x
    x = 177,477,010.77/17,244
  6. Step 6: Final answer
    x = 10,292.10

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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.