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Finding the Fourth Proportional to 27,670.46, 38,185.06 and 15,733.80

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Solution

The fourth proportional to 27,670.46, 38,185.06 and 15,733.80 is: 21,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.46 : 38,185.06 = 15,733.80 : x
  2. Step 2: Convert to fraction form
    27,670.46/38,185.06 = 15,733.80/x
  3. Step 3: Cross multiply
    27,670.46x = 38,185.06 × 15,733.80
  4. Step 4: Simplify right side
    27,670.46x = 600,795,922.90
  5. Step 5: Solve for x
    x = 600,795,922.90/27,670.46
  6. Step 6: Final answer
    x = 21,712.54

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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.