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Finding the Fourth Proportional to 19,863.10, 29,782.50 and 8,022.34

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Solution

The fourth proportional to 19,863.10, 29,782.50 and 8,022.34 is: 12,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.10 : 29,782.50 = 8,022.34 : x
  2. Step 2: Convert to fraction form
    19,863.10/29,782.50 = 8,022.34/x
  3. Step 3: Cross multiply
    19,863.10x = 29,782.50 × 8,022.34
  4. Step 4: Simplify right side
    19,863.10x = 238,925,341.05
  5. Step 5: Solve for x
    x = 238,925,341.05/19,863.10
  6. Step 6: Final answer
    x = 12,028.60

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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.