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Finding the Fourth Proportional to 27,692.61, 38,217.86 and 15,759.78

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Solution

The fourth proportional to 27,692.61, 38,217.86 and 15,759.78 is: 21,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.61 : 38,217.86 = 15,759.78 : x
  2. Step 2: Convert to fraction form
    27,692.61/38,217.86 = 15,759.78/x
  3. Step 3: Cross multiply
    27,692.61x = 38,217.86 × 15,759.78
  4. Step 4: Simplify right side
    27,692.61x = 602,305,065.67
  5. Step 5: Solve for x
    x = 602,305,065.67/27,692.61
  6. Step 6: Final answer
    x = 21,749.67

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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.