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Finding the Fourth Proportional to 14,847.63, 20,489.94 and 8,133.12

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Solution

The fourth proportional to 14,847.63, 20,489.94 and 8,133.12 is: 11,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.63 : 20,489.94 = 8,133.12 : x
  2. Step 2: Convert to fraction form
    14,847.63/20,489.94 = 8,133.12/x
  3. Step 3: Cross multiply
    14,847.63x = 20,489.94 × 8,133.12
  4. Step 4: Simplify right side
    14,847.63x = 166,647,140.81
  5. Step 5: Solve for x
    x = 166,647,140.81/14,847.63
  6. Step 6: Final answer
    x = 11,223.82

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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.