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Finding the Fourth Proportional to 13,349.37, 20,023.94 and 9,384.27

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Solution

The fourth proportional to 13,349.37, 20,023.94 and 9,384.27 is: 14,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.37 : 20,023.94 = 9,384.27 : x
  2. Step 2: Convert to fraction form
    13,349.37/20,023.94 = 9,384.27/x
  3. Step 3: Cross multiply
    13,349.37x = 20,023.94 × 9,384.27
  4. Step 4: Simplify right side
    13,349.37x = 187,910,012.50
  5. Step 5: Solve for x
    x = 187,910,012.50/13,349.37
  6. Step 6: Final answer
    x = 14,076.32

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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.