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Finding the Fourth Proportional to 17,235.98, 25,848.97 and 7,871.03

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Solution

The fourth proportional to 17,235.98, 25,848.97 and 7,871.03 is: 11,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.98 : 25,848.97 = 7,871.03 : x
  2. Step 2: Convert to fraction form
    17,235.98/25,848.97 = 7,871.03/x
  3. Step 3: Cross multiply
    17,235.98x = 25,848.97 × 7,871.03
  4. Step 4: Simplify right side
    17,235.98x = 203,458,018.34
  5. Step 5: Solve for x
    x = 203,458,018.34/17,235.98
  6. Step 6: Final answer
    x = 11,804.26

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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.