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Finding the Fourth Proportional to 25,450.84, 38,178.69 and 7,915.96

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Solution

The fourth proportional to 25,450.84, 38,178.69 and 7,915.96 is: 11,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450.84 : 38,178.69 = 7,915.96 : x
  2. Step 2: Convert to fraction form
    25,450.84/38,178.69 = 7,915.96/x
  3. Step 3: Cross multiply
    25,450.84x = 38,178.69 × 7,915.96
  4. Step 4: Simplify right side
    25,450.84x = 302,220,982.89
  5. Step 5: Solve for x
    x = 302,220,982.89/25,450.84
  6. Step 6: Final answer
    x = 11,874.70

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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.