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Finding the Fourth Proportional to 25,769.00, 38,655.93 and 8,234.66

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Solution

The fourth proportional to 25,769.00, 38,655.93 and 8,234.66 is: 12,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.00 : 38,655.93 = 8,234.66 : x
  2. Step 2: Convert to fraction form
    25,769.00/38,655.93 = 8,234.66/x
  3. Step 3: Cross multiply
    25,769.00x = 38,655.93 × 8,234.66
  4. Step 4: Simplify right side
    25,769.00x = 318,318,247.25
  5. Step 5: Solve for x
    x = 318,318,247.25/25,769.00
  6. Step 6: Final answer
    x = 12,352.76

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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.