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Finding the Fourth Proportional to 25,378.84, 38,072.31 and 8,734.76

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Solution

The fourth proportional to 25,378.84, 38,072.31 and 8,734.76 is: 13,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.84 : 38,072.31 = 8,734.76 : x
  2. Step 2: Convert to fraction form
    25,378.84/38,072.31 = 8,734.76/x
  3. Step 3: Cross multiply
    25,378.84x = 38,072.31 × 8,734.76
  4. Step 4: Simplify right side
    25,378.84x = 332,552,490.50
  5. Step 5: Solve for x
    x = 332,552,490.50/25,378.84
  6. Step 6: Final answer
    x = 13,103.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.