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Finding the Fourth Proportional to 18,608.25, 27,877.71 and 9,237.60

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Solution

The fourth proportional to 18,608.25, 27,877.71 and 9,237.60 is: 13,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,608.25 : 27,877.71 = 9,237.60 : x
  2. Step 2: Convert to fraction form
    18,608.25/27,877.71 = 9,237.60/x
  3. Step 3: Cross multiply
    18,608.25x = 27,877.71 × 9,237.60
  4. Step 4: Simplify right side
    18,608.25x = 257,523,133.90
  5. Step 5: Solve for x
    x = 257,523,133.90/18,608.25
  6. Step 6: Final answer
    x = 13,839.19

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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.