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Finding the Fourth Proportional to 27,494, 37,941.54 and 14,918.76

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Solution

The fourth proportional to 27,494, 37,941.54 and 14,918.76 is: 20,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494 : 37,941.54 = 14,918.76 : x
  2. Step 2: Convert to fraction form
    27,494/37,941.54 = 14,918.76/x
  3. Step 3: Cross multiply
    27,494x = 37,941.54 × 14,918.76
  4. Step 4: Simplify right side
    27,494x = 566,040,729.29
  5. Step 5: Solve for x
    x = 566,040,729.29/27,494
  6. Step 6: Final answer
    x = 20,587.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.