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Finding the Fourth Proportional to 38,302.67, 57,453.81 and 9,839.60

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Solution

The fourth proportional to 38,302.67, 57,453.81 and 9,839.60 is: 14,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.67 : 57,453.81 = 9,839.60 : x
  2. Step 2: Convert to fraction form
    38,302.67/57,453.81 = 9,839.60/x
  3. Step 3: Cross multiply
    38,302.67x = 57,453.81 × 9,839.60
  4. Step 4: Simplify right side
    38,302.67x = 565,322,644.77
  5. Step 5: Solve for x
    x = 565,322,644.77/38,302.67
  6. Step 6: Final answer
    x = 14,759.35

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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.