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Finding the Fourth Proportional to 19,676.40, 29,471.40 and 17,084.40

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Solution

The fourth proportional to 19,676.40, 29,471.40 and 17,084.40 is: 25,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.40 : 29,471.40 = 17,084.40 : x
  2. Step 2: Convert to fraction form
    19,676.40/29,471.40 = 17,084.40/x
  3. Step 3: Cross multiply
    19,676.40x = 29,471.40 × 17,084.40
  4. Step 4: Simplify right side
    19,676.40x = 503,501,186.16
  5. Step 5: Solve for x
    x = 503,501,186.16/19,676.40
  6. Step 6: Final answer
    x = 25,589.09

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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.