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Finding the Fourth Proportional to 24,896.86, 34,355.20 and 14,687.67

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Solution

The fourth proportional to 24,896.86, 34,355.20 and 14,687.67 is: 20,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.86 : 34,355.20 = 14,687.67 : x
  2. Step 2: Convert to fraction form
    24,896.86/34,355.20 = 14,687.67/x
  3. Step 3: Cross multiply
    24,896.86x = 34,355.20 × 14,687.67
  4. Step 4: Simplify right side
    24,896.86x = 504,597,840.38
  5. Step 5: Solve for x
    x = 504,597,840.38/24,896.86
  6. Step 6: Final answer
    x = 20,267.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.