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Finding the Fourth Proportional to 14,571.40, 20,105.94 and 8,283.40

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Solution

The fourth proportional to 14,571.40, 20,105.94 and 8,283.40 is: 11,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.40 : 20,105.94 = 8,283.40 : x
  2. Step 2: Convert to fraction form
    14,571.40/20,105.94 = 8,283.40/x
  3. Step 3: Cross multiply
    14,571.40x = 20,105.94 × 8,283.40
  4. Step 4: Simplify right side
    14,571.40x = 166,545,543.40
  5. Step 5: Solve for x
    x = 166,545,543.40/14,571.40
  6. Step 6: Final answer
    x = 11,429.62

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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.