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Finding the Fourth Proportional to 27,242.94, 40,863.60 and 7,522.68

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Solution

The fourth proportional to 27,242.94, 40,863.60 and 7,522.68 is: 11,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.94 : 40,863.60 = 7,522.68 : x
  2. Step 2: Convert to fraction form
    27,242.94/40,863.60 = 7,522.68/x
  3. Step 3: Cross multiply
    27,242.94x = 40,863.60 × 7,522.68
  4. Step 4: Simplify right side
    27,242.94x = 307,403,786.45
  5. Step 5: Solve for x
    x = 307,403,786.45/27,242.94
  6. Step 6: Final answer
    x = 11,283.80

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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.