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Finding the Fourth Proportional to 38,584.04, 57,877.02 and 10,881

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Solution

The fourth proportional to 38,584.04, 57,877.02 and 10,881 is: 16,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584.04 : 57,877.02 = 10,881 : x
  2. Step 2: Convert to fraction form
    38,584.04/57,877.02 = 10,881/x
  3. Step 3: Cross multiply
    38,584.04x = 57,877.02 × 10,881
  4. Step 4: Simplify right side
    38,584.04x = 629,759,854.62
  5. Step 5: Solve for x
    x = 629,759,854.62/38,584.04
  6. Step 6: Final answer
    x = 16,321.77

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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.