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Finding the Fourth Proportional to 27,457.16, 41,188.77 and 8,732.82

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Solution

The fourth proportional to 27,457.16, 41,188.77 and 8,732.82 is: 13,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.16 : 41,188.77 = 8,732.82 : x
  2. Step 2: Convert to fraction form
    27,457.16/41,188.77 = 8,732.82/x
  3. Step 3: Cross multiply
    27,457.16x = 41,188.77 × 8,732.82
  4. Step 4: Simplify right side
    27,457.16x = 359,694,114.43
  5. Step 5: Solve for x
    x = 359,694,114.43/27,457.16
  6. Step 6: Final answer
    x = 13,100.19

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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.