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Finding the Fourth Proportional to 25,195.50, 37,790.64 and 6,474.96

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Solution

The fourth proportional to 25,195.50, 37,790.64 and 6,474.96 is: 9,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,195.50 : 37,790.64 = 6,474.96 : x
  2. Step 2: Convert to fraction form
    25,195.50/37,790.64 = 6,474.96/x
  3. Step 3: Cross multiply
    25,195.50x = 37,790.64 × 6,474.96
  4. Step 4: Simplify right side
    25,195.50x = 244,692,882.37
  5. Step 5: Solve for x
    x = 244,692,882.37/25,195.50
  6. Step 6: Final answer
    x = 9,711.77

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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.