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Finding the Fourth Proportional to 14,509.92, 20,023.46 and 8,136.48

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Solution

The fourth proportional to 14,509.92, 20,023.46 and 8,136.48 is: 11,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.92 : 20,023.46 = 8,136.48 : x
  2. Step 2: Convert to fraction form
    14,509.92/20,023.46 = 8,136.48/x
  3. Step 3: Cross multiply
    14,509.92x = 20,023.46 × 8,136.48
  4. Step 4: Simplify right side
    14,509.92x = 162,920,481.82
  5. Step 5: Solve for x
    x = 162,920,481.82/14,509.92
  6. Step 6: Final answer
    x = 11,228.21

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