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Finding the Fourth Proportional to 17,871.03, 26,805.74 and 6,185.16

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Solution

The fourth proportional to 17,871.03, 26,805.74 and 6,185.16 is: 9,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.03 : 26,805.74 = 6,185.16 : x
  2. Step 2: Convert to fraction form
    17,871.03/26,805.74 = 6,185.16/x
  3. Step 3: Cross multiply
    17,871.03x = 26,805.74 × 6,185.16
  4. Step 4: Simplify right side
    17,871.03x = 165,797,759.89
  5. Step 5: Solve for x
    x = 165,797,759.89/17,871.03
  6. Step 6: Final answer
    x = 9,277.46

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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.