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Finding the Fourth Proportional to 27,085.54, 40,629.20 and 9,316.02

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Solution

The fourth proportional to 27,085.54, 40,629.20 and 9,316.02 is: 13,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.54 : 40,629.20 = 9,316.02 : x
  2. Step 2: Convert to fraction form
    27,085.54/40,629.20 = 9,316.02/x
  3. Step 3: Cross multiply
    27,085.54x = 40,629.20 × 9,316.02
  4. Step 4: Simplify right side
    27,085.54x = 378,502,439.78
  5. Step 5: Solve for x
    x = 378,502,439.78/27,085.54
  6. Step 6: Final answer
    x = 13,974.34

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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.