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Finding the Fourth Proportional to 20,142.80, 30,214.20 and 19,710.80

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Solution

The fourth proportional to 20,142.80, 30,214.20 and 19,710.80 is: 29,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.80 : 30,214.20 = 19,710.80 : x
  2. Step 2: Convert to fraction form
    20,142.80/30,214.20 = 19,710.80/x
  3. Step 3: Cross multiply
    20,142.80x = 30,214.20 × 19,710.80
  4. Step 4: Simplify right side
    20,142.80x = 595,546,053.36
  5. Step 5: Solve for x
    x = 595,546,053.36/20,142.80
  6. Step 6: Final answer
    x = 29,566.20

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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.