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Finding the Fourth Proportional to 25,728.49, 38,593.02 and 9,076.83

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Solution

The fourth proportional to 25,728.49, 38,593.02 and 9,076.83 is: 13,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.49 : 38,593.02 = 9,076.83 : x
  2. Step 2: Convert to fraction form
    25,728.49/38,593.02 = 9,076.83/x
  3. Step 3: Cross multiply
    25,728.49x = 38,593.02 × 9,076.83
  4. Step 4: Simplify right side
    25,728.49x = 350,302,171.04
  5. Step 5: Solve for x
    x = 350,302,171.04/25,728.49
  6. Step 6: Final answer
    x = 13,615.34

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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.