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Finding the Fourth Proportional to 13,896.86, 20,835.57 and 6,967.58

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Solution

The fourth proportional to 13,896.86, 20,835.57 and 6,967.58 is: 10,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.86 : 20,835.57 = 6,967.58 : x
  2. Step 2: Convert to fraction form
    13,896.86/20,835.57 = 6,967.58/x
  3. Step 3: Cross multiply
    13,896.86x = 20,835.57 × 6,967.58
  4. Step 4: Simplify right side
    13,896.86x = 145,173,500.82
  5. Step 5: Solve for x
    x = 145,173,500.82/13,896.86
  6. Step 6: Final answer
    x = 10,446.50

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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.