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Finding the Fourth Proportional to 14,662.92, 20,232.54 and 8,289.84

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Solution

The fourth proportional to 14,662.92, 20,232.54 and 8,289.84 is: 11,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.92 : 20,232.54 = 8,289.84 : x
  2. Step 2: Convert to fraction form
    14,662.92/20,232.54 = 8,289.84/x
  3. Step 3: Cross multiply
    14,662.92x = 20,232.54 × 8,289.84
  4. Step 4: Simplify right side
    14,662.92x = 167,724,519.39
  5. Step 5: Solve for x
    x = 167,724,519.39/14,662.92
  6. Step 6: Final answer
    x = 11,438.68

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1.5x scale

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.