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Finding the Fourth Proportional to 19,921.20, 29,892.60 and 8,829.60

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Solution

The fourth proportional to 19,921.20, 29,892.60 and 8,829.60 is: 13,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.20 : 29,892.60 = 8,829.60 : x
  2. Step 2: Convert to fraction form
    19,921.20/29,892.60 = 8,829.60/x
  3. Step 3: Cross multiply
    19,921.20x = 29,892.60 × 8,829.60
  4. Step 4: Simplify right side
    19,921.20x = 263,939,700.96
  5. Step 5: Solve for x
    x = 263,939,700.96/19,921.20
  6. Step 6: Final answer
    x = 13,249.19

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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.