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Finding the Fourth Proportional to 26,467.74, 39,676.50 and 9,823.46

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Solution

The fourth proportional to 26,467.74, 39,676.50 and 9,823.46 is: 14,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,467.74 : 39,676.50 = 9,823.46 : x
  2. Step 2: Convert to fraction form
    26,467.74/39,676.50 = 9,823.46/x
  3. Step 3: Cross multiply
    26,467.74x = 39,676.50 × 9,823.46
  4. Step 4: Simplify right side
    26,467.74x = 389,760,312.31
  5. Step 5: Solve for x
    x = 389,760,312.31/26,467.74
  6. Step 6: Final answer
    x = 14,725.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.