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Finding the Fourth Proportional to 27,705.28, 41,555.36 and 11,288

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Solution

The fourth proportional to 27,705.28, 41,555.36 and 11,288 is: 16,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.28 : 41,555.36 = 11,288 : x
  2. Step 2: Convert to fraction form
    27,705.28/41,555.36 = 11,288/x
  3. Step 3: Cross multiply
    27,705.28x = 41,555.36 × 11,288
  4. Step 4: Simplify right side
    27,705.28x = 469,076,903.68
  5. Step 5: Solve for x
    x = 469,076,903.68/27,705.28
  6. Step 6: Final answer
    x = 16,930.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.