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Finding the Fourth Proportional to 13,774.58, 20,650.37 and 6,384.34

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Solution

The fourth proportional to 13,774.58, 20,650.37 and 6,384.34 is: 9,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.58 : 20,650.37 = 6,384.34 : x
  2. Step 2: Convert to fraction form
    13,774.58/20,650.37 = 6,384.34/x
  3. Step 3: Cross multiply
    13,774.58x = 20,650.37 × 6,384.34
  4. Step 4: Simplify right side
    13,774.58x = 131,838,983.21
  5. Step 5: Solve for x
    x = 131,838,983.21/13,774.58
  6. Step 6: Final answer
    x = 9,571.18

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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.