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Finding the Fourth Proportional to 27,349.30, 41,029.76 and 8,634.75

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Solution

The fourth proportional to 27,349.30, 41,029.76 and 8,634.75 is: 12,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.30 : 41,029.76 = 8,634.75 : x
  2. Step 2: Convert to fraction form
    27,349.30/41,029.76 = 8,634.75/x
  3. Step 3: Cross multiply
    27,349.30x = 41,029.76 × 8,634.75
  4. Step 4: Simplify right side
    27,349.30x = 354,281,720.16
  5. Step 5: Solve for x
    x = 354,281,720.16/27,349.30
  6. Step 6: Final answer
    x = 12,953.96

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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.