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Finding the Fourth Proportional to 20,131.40, 30,197.01 and 17,142.01

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Solution

The fourth proportional to 20,131.40, 30,197.01 and 17,142.01 is: 25,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.40 : 30,197.01 = 17,142.01 : x
  2. Step 2: Convert to fraction form
    20,131.40/30,197.01 = 17,142.01/x
  3. Step 3: Cross multiply
    20,131.40x = 30,197.01 × 17,142.01
  4. Step 4: Simplify right side
    20,131.40x = 517,637,447.39
  5. Step 5: Solve for x
    x = 517,637,447.39/20,131.40
  6. Step 6: Final answer
    x = 25,712.94

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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.