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Finding the Fourth Proportional to 26,455.78, 39,676.95 and 9,806.62

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Solution

The fourth proportional to 26,455.78, 39,676.95 and 9,806.62 is: 14,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455.78 : 39,676.95 = 9,806.62 : x
  2. Step 2: Convert to fraction form
    26,455.78/39,676.95 = 9,806.62/x
  3. Step 3: Cross multiply
    26,455.78x = 39,676.95 × 9,806.62
  4. Step 4: Simplify right side
    26,455.78x = 389,096,771.41
  5. Step 5: Solve for x
    x = 389,096,771.41/26,455.78
  6. Step 6: Final answer
    x = 14,707.44

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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.