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Finding the Fourth Proportional to 19,760.88, 29,652.24 and 8,073.24

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Solution

The fourth proportional to 19,760.88, 29,652.24 and 8,073.24 is: 12,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.88 : 29,652.24 = 8,073.24 : x
  2. Step 2: Convert to fraction form
    19,760.88/29,652.24 = 8,073.24/x
  3. Step 3: Cross multiply
    19,760.88x = 29,652.24 × 8,073.24
  4. Step 4: Simplify right side
    19,760.88x = 239,389,650.06
  5. Step 5: Solve for x
    x = 239,389,650.06/19,760.88
  6. Step 6: Final answer
    x = 12,114.32

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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.