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Finding the Fourth Proportional to 27,632.90, 41,457.54 and 12,850.60

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Solution

The fourth proportional to 27,632.90, 41,457.54 and 12,850.60 is: 19,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.90 : 41,457.54 = 12,850.60 : x
  2. Step 2: Convert to fraction form
    27,632.90/41,457.54 = 12,850.60/x
  3. Step 3: Cross multiply
    27,632.90x = 41,457.54 × 12,850.60
  4. Step 4: Simplify right side
    27,632.90x = 532,754,263.52
  5. Step 5: Solve for x
    x = 532,754,263.52/27,632.90
  6. Step 6: Final answer
    x = 19,279.71

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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.