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Finding the Fourth Proportional to 30,204, 41,681.52 and 16,956

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Solution

The fourth proportional to 30,204, 41,681.52 and 16,956 is: 23,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 41,681.52 = 16,956 : x
  2. Step 2: Convert to fraction form
    30,204/41,681.52 = 16,956/x
  3. Step 3: Cross multiply
    30,204x = 41,681.52 × 16,956
  4. Step 4: Simplify right side
    30,204x = 706,751,853.12
  5. Step 5: Solve for x
    x = 706,751,853.12/30,204
  6. Step 6: Final answer
    x = 23,399.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.