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Finding the Fourth Proportional to 25,052.46, 37,583 and 8,414.09

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Solution

The fourth proportional to 25,052.46, 37,583 and 8,414.09 is: 12,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.46 : 37,583 = 8,414.09 : x
  2. Step 2: Convert to fraction form
    25,052.46/37,583 = 8,414.09/x
  3. Step 3: Cross multiply
    25,052.46x = 37,583 × 8,414.09
  4. Step 4: Simplify right side
    25,052.46x = 316,226,744.47
  5. Step 5: Solve for x
    x = 316,226,744.47/25,052.46
  6. Step 6: Final answer
    x = 12,622.58

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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.