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Finding the Fourth Proportional to 25,612.41, 38,425.46 and 8,082.57

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Solution

The fourth proportional to 25,612.41, 38,425.46 and 8,082.57 is: 12,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.41 : 38,425.46 = 8,082.57 : x
  2. Step 2: Convert to fraction form
    25,612.41/38,425.46 = 8,082.57/x
  3. Step 3: Cross multiply
    25,612.41x = 38,425.46 × 8,082.57
  4. Step 4: Simplify right side
    25,612.41x = 310,576,429.82
  5. Step 5: Solve for x
    x = 310,576,429.82/25,612.41
  6. Step 6: Final answer
    x = 12,126.01

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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.