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Finding the Fourth Proportional to 14,834.17, 20,471.14 and 8,119.74

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Solution

The fourth proportional to 14,834.17, 20,471.14 and 8,119.74 is: 11,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.17 : 20,471.14 = 8,119.74 : x
  2. Step 2: Convert to fraction form
    14,834.17/20,471.14 = 8,119.74/x
  3. Step 3: Cross multiply
    14,834.17x = 20,471.14 × 8,119.74
  4. Step 4: Simplify right side
    14,834.17x = 166,220,306.07
  5. Step 5: Solve for x
    x = 166,220,306.07/14,834.17
  6. Step 6: Final answer
    x = 11,205.23

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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.