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Finding the Fourth Proportional to 27,709.66, 38,241.26 and 15,772.98

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Solution

The fourth proportional to 27,709.66, 38,241.26 and 15,772.98 is: 21,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.66 : 38,241.26 = 15,772.98 : x
  2. Step 2: Convert to fraction form
    27,709.66/38,241.26 = 15,772.98/x
  3. Step 3: Cross multiply
    27,709.66x = 38,241.26 × 15,772.98
  4. Step 4: Simplify right side
    27,709.66x = 603,178,629.15
  5. Step 5: Solve for x
    x = 603,178,629.15/27,709.66
  6. Step 6: Final answer
    x = 21,767.81

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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.