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Finding the Fourth Proportional to 20,123.60, 30,181.80 and 12,714.80

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Solution

The fourth proportional to 20,123.60, 30,181.80 and 12,714.80 is: 19,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.60 : 30,181.80 = 12,714.80 : x
  2. Step 2: Convert to fraction form
    20,123.60/30,181.80 = 12,714.80/x
  3. Step 3: Cross multiply
    20,123.60x = 30,181.80 × 12,714.80
  4. Step 4: Simplify right side
    20,123.60x = 383,755,550.64
  5. Step 5: Solve for x
    x = 383,755,550.64/20,123.60
  6. Step 6: Final answer
    x = 19,069.93

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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.