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Finding the Fourth Proportional to 27,832.09, 41,748.54 and 9,112

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Solution

The fourth proportional to 27,832.09, 41,748.54 and 9,112 is: 13,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.09 : 41,748.54 = 9,112 : x
  2. Step 2: Convert to fraction form
    27,832.09/41,748.54 = 9,112/x
  3. Step 3: Cross multiply
    27,832.09x = 41,748.54 × 9,112
  4. Step 4: Simplify right side
    27,832.09x = 380,412,696.48
  5. Step 5: Solve for x
    x = 380,412,696.48/27,832.09
  6. Step 6: Final answer
    x = 13,668.13

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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.