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Finding the Fourth Proportional to 17,164.36, 25,741.92 and 6,069.58

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Solution

The fourth proportional to 17,164.36, 25,741.92 and 6,069.58 is: 9,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.36 : 25,741.92 = 6,069.58 : x
  2. Step 2: Convert to fraction form
    17,164.36/25,741.92 = 6,069.58/x
  3. Step 3: Cross multiply
    17,164.36x = 25,741.92 × 6,069.58
  4. Step 4: Simplify right side
    17,164.36x = 156,242,642.79
  5. Step 5: Solve for x
    x = 156,242,642.79/17,164.36
  6. Step 6: Final answer
    x = 9,102.74

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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.