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Finding the Fourth Proportional to 19,780.20, 29,612.70 and 19,204.20

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Solution

The fourth proportional to 19,780.20, 29,612.70 and 19,204.20 is: 28,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.20 : 29,612.70 = 19,204.20 : x
  2. Step 2: Convert to fraction form
    19,780.20/29,612.70 = 19,204.20/x
  3. Step 3: Cross multiply
    19,780.20x = 29,612.70 × 19,204.20
  4. Step 4: Simplify right side
    19,780.20x = 568,688,213.34
  5. Step 5: Solve for x
    x = 568,688,213.34/19,780.20
  6. Step 6: Final answer
    x = 28,750.38

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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.