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Finding the Fourth Proportional to 19,873.96, 29,780.70 and 8,173.24

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Solution

The fourth proportional to 19,873.96, 29,780.70 and 8,173.24 is: 12,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.96 : 29,780.70 = 8,173.24 : x
  2. Step 2: Convert to fraction form
    19,873.96/29,780.70 = 8,173.24/x
  3. Step 3: Cross multiply
    19,873.96x = 29,780.70 × 8,173.24
  4. Step 4: Simplify right side
    19,873.96x = 243,404,808.47
  5. Step 5: Solve for x
    x = 243,404,808.47/19,873.96
  6. Step 6: Final answer
    x = 12,247.42

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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.