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Finding the Fourth Proportional to 27,494.02, 41,244.68 and 7,772.14

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Solution

The fourth proportional to 27,494.02, 41,244.68 and 7,772.14 is: 11,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.02 : 41,244.68 = 7,772.14 : x
  2. Step 2: Convert to fraction form
    27,494.02/41,244.68 = 7,772.14/x
  3. Step 3: Cross multiply
    27,494.02x = 41,244.68 × 7,772.14
  4. Step 4: Simplify right side
    27,494.02x = 320,559,427.22
  5. Step 5: Solve for x
    x = 320,559,427.22/27,494.02
  6. Step 6: Final answer
    x = 11,659.24

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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.