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Finding the Fourth Proportional to 12,813.63, 19,221.13 and 12,112.42

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Solution

The fourth proportional to 12,813.63, 19,221.13 and 12,112.42 is: 18,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.63 : 19,221.13 = 12,112.42 : x
  2. Step 2: Convert to fraction form
    12,813.63/19,221.13 = 12,112.42/x
  3. Step 3: Cross multiply
    12,813.63x = 19,221.13 × 12,112.42
  4. Step 4: Simplify right side
    12,813.63x = 232,814,399.43
  5. Step 5: Solve for x
    x = 232,814,399.43/12,813.63
  6. Step 6: Final answer
    x = 18,169.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.