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Finding the Fourth Proportional to 25,682.28, 38,523.33 and 8,153.46

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Solution

The fourth proportional to 25,682.28, 38,523.33 and 8,153.46 is: 12,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.28 : 38,523.33 = 8,153.46 : x
  2. Step 2: Convert to fraction form
    25,682.28/38,523.33 = 8,153.46/x
  3. Step 3: Cross multiply
    25,682.28x = 38,523.33 × 8,153.46
  4. Step 4: Simplify right side
    25,682.28x = 314,098,430.22
  5. Step 5: Solve for x
    x = 314,098,430.22/25,682.28
  6. Step 6: Final answer
    x = 12,230.16

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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.