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Finding the Fourth Proportional to 27,688.50, 38,200.86 and 16,361.64

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Solution

The fourth proportional to 27,688.50, 38,200.86 and 16,361.64 is: 22,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.50 : 38,200.86 = 16,361.64 : x
  2. Step 2: Convert to fraction form
    27,688.50/38,200.86 = 16,361.64/x
  3. Step 3: Cross multiply
    27,688.50x = 38,200.86 × 16,361.64
  4. Step 4: Simplify right side
    27,688.50x = 625,028,719.01
  5. Step 5: Solve for x
    x = 625,028,719.01/27,688.50
  6. Step 6: Final answer
    x = 22,573.59

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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.