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Finding the Fourth Proportional to 27,762.44, 38,313.54 and 16,438.40

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Solution

The fourth proportional to 27,762.44, 38,313.54 and 16,438.40 is: 22,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.44 : 38,313.54 = 16,438.40 : x
  2. Step 2: Convert to fraction form
    27,762.44/38,313.54 = 16,438.40/x
  3. Step 3: Cross multiply
    27,762.44x = 38,313.54 × 16,438.40
  4. Step 4: Simplify right side
    27,762.44x = 629,813,295.94
  5. Step 5: Solve for x
    x = 629,813,295.94/27,762.44
  6. Step 6: Final answer
    x = 22,685.80

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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.