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Finding the Fourth Proportional to 27,728.72, 38,293.59 and 17,661.67

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Solution

The fourth proportional to 27,728.72, 38,293.59 and 17,661.67 is: 24,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.72 : 38,293.59 = 17,661.67 : x
  2. Step 2: Convert to fraction form
    27,728.72/38,293.59 = 17,661.67/x
  3. Step 3: Cross multiply
    27,728.72x = 38,293.59 × 17,661.67
  4. Step 4: Simplify right side
    27,728.72x = 676,328,749.70
  5. Step 5: Solve for x
    x = 676,328,749.70/27,728.72
  6. Step 6: Final answer
    x = 24,390.91

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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.