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Finding the Fourth Proportional to 27,417.54, 41,121.60 and 9,884.82

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Solution

The fourth proportional to 27,417.54, 41,121.60 and 9,884.82 is: 14,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.54 : 41,121.60 = 9,884.82 : x
  2. Step 2: Convert to fraction form
    27,417.54/41,121.60 = 9,884.82/x
  3. Step 3: Cross multiply
    27,417.54x = 41,121.60 × 9,884.82
  4. Step 4: Simplify right side
    27,417.54x = 406,479,614.11
  5. Step 5: Solve for x
    x = 406,479,614.11/27,417.54
  6. Step 6: Final answer
    x = 14,825.53

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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.