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Finding the Fourth Proportional to 25,553.76, 38,325.78 and 6,834.66

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Solution

The fourth proportional to 25,553.76, 38,325.78 and 6,834.66 is: 10,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,553.76 : 38,325.78 = 6,834.66 : x
  2. Step 2: Convert to fraction form
    25,553.76/38,325.78 = 6,834.66/x
  3. Step 3: Cross multiply
    25,553.76x = 38,325.78 × 6,834.66
  4. Step 4: Simplify right side
    25,553.76x = 261,943,675.53
  5. Step 5: Solve for x
    x = 261,943,675.53/25,553.76
  6. Step 6: Final answer
    x = 10,250.69

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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.