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Finding the Fourth Proportional to 27,709.52, 38,241.09 and 15,772.86

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Solution

The fourth proportional to 27,709.52, 38,241.09 and 15,772.86 is: 21,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.52 : 38,241.09 = 15,772.86 : x
  2. Step 2: Convert to fraction form
    27,709.52/38,241.09 = 15,772.86/x
  3. Step 3: Cross multiply
    27,709.52x = 38,241.09 × 15,772.86
  4. Step 4: Simplify right side
    27,709.52x = 603,171,358.82
  5. Step 5: Solve for x
    x = 603,171,358.82/27,709.52
  6. Step 6: Final answer
    x = 21,767.66

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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.