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Finding the Fourth Proportional to 20,029.60, 27,640.50 and 12,076.18

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Solution

The fourth proportional to 20,029.60, 27,640.50 and 12,076.18 is: 16,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.60 : 27,640.50 = 12,076.18 : x
  2. Step 2: Convert to fraction form
    20,029.60/27,640.50 = 12,076.18/x
  3. Step 3: Cross multiply
    20,029.60x = 27,640.50 × 12,076.18
  4. Step 4: Simplify right side
    20,029.60x = 333,791,653.29
  5. Step 5: Solve for x
    x = 333,791,653.29/20,029.60
  6. Step 6: Final answer
    x = 16,664.92

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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.