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Finding the Fourth Proportional to 14,507.83, 20,022.49 and 8,136.17

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Solution

The fourth proportional to 14,507.83, 20,022.49 and 8,136.17 is: 11,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.83 : 20,022.49 = 8,136.17 : x
  2. Step 2: Convert to fraction form
    14,507.83/20,022.49 = 8,136.17/x
  3. Step 3: Cross multiply
    14,507.83x = 20,022.49 × 8,136.17
  4. Step 4: Simplify right side
    14,507.83x = 162,906,382.46
  5. Step 5: Solve for x
    x = 162,906,382.46/14,507.83
  6. Step 6: Final answer
    x = 11,228.86

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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.