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Finding the Fourth Proportional to 27,670.92, 38,190.76 and 16,339.66

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Solution

The fourth proportional to 27,670.92, 38,190.76 and 16,339.66 is: 22,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.92 : 38,190.76 = 16,339.66 : x
  2. Step 2: Convert to fraction form
    27,670.92/38,190.76 = 16,339.66/x
  3. Step 3: Cross multiply
    27,670.92x = 38,190.76 × 16,339.66
  4. Step 4: Simplify right side
    27,670.92x = 624,023,897.22
  5. Step 5: Solve for x
    x = 624,023,897.22/27,670.92
  6. Step 6: Final answer
    x = 22,551.62

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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.