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Finding the Fourth Proportional to 27,353.21, 41,029.81 and 8,646.38

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Solution

The fourth proportional to 27,353.21, 41,029.81 and 8,646.38 is: 12,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,353.21 : 41,029.81 = 8,646.38 : x
  2. Step 2: Convert to fraction form
    27,353.21/41,029.81 = 8,646.38/x
  3. Step 3: Cross multiply
    27,353.21x = 41,029.81 × 8,646.38
  4. Step 4: Simplify right side
    27,353.21x = 354,759,342.79
  5. Step 5: Solve for x
    x = 354,759,342.79/27,353.21
  6. Step 6: Final answer
    x = 12,969.57

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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.