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Finding the Fourth Proportional to 27,310.33, 40,969.82 and 9,779.77

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Solution

The fourth proportional to 27,310.33, 40,969.82 and 9,779.77 is: 14,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.33 : 40,969.82 = 9,779.77 : x
  2. Step 2: Convert to fraction form
    27,310.33/40,969.82 = 9,779.77/x
  3. Step 3: Cross multiply
    27,310.33x = 40,969.82 × 9,779.77
  4. Step 4: Simplify right side
    27,310.33x = 400,675,416.54
  5. Step 5: Solve for x
    x = 400,675,416.54/27,310.33
  6. Step 6: Final answer
    x = 14,671.20

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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.