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Finding the Fourth Proportional to 25,257.46, 37,877.94 and 8,385.94

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Solution

The fourth proportional to 25,257.46, 37,877.94 and 8,385.94 is: 12,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.46 : 37,877.94 = 8,385.94 : x
  2. Step 2: Convert to fraction form
    25,257.46/37,877.94 = 8,385.94/x
  3. Step 3: Cross multiply
    25,257.46x = 37,877.94 × 8,385.94
  4. Step 4: Simplify right side
    25,257.46x = 317,642,132.16
  5. Step 5: Solve for x
    x = 317,642,132.16/25,257.46
  6. Step 6: Final answer
    x = 12,576.17

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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.