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Finding the Fourth Proportional to 17,676.11, 26,515.14 and 5,829.40

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Solution

The fourth proportional to 17,676.11, 26,515.14 and 5,829.40 is: 8,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.11 : 26,515.14 = 5,829.40 : x
  2. Step 2: Convert to fraction form
    17,676.11/26,515.14 = 5,829.40/x
  3. Step 3: Cross multiply
    17,676.11x = 26,515.14 × 5,829.40
  4. Step 4: Simplify right side
    17,676.11x = 154,567,357.12
  5. Step 5: Solve for x
    x = 154,567,357.12/17,676.11
  6. Step 6: Final answer
    x = 8,744.42

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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.