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Finding the Fourth Proportional to 19,820.64, 29,725.72 and 8,131.64

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Solution

The fourth proportional to 19,820.64, 29,725.72 and 8,131.64 is: 12,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.64 : 29,725.72 = 8,131.64 : x
  2. Step 2: Convert to fraction form
    19,820.64/29,725.72 = 8,131.64/x
  3. Step 3: Cross multiply
    19,820.64x = 29,725.72 × 8,131.64
  4. Step 4: Simplify right side
    19,820.64x = 241,718,853.78
  5. Step 5: Solve for x
    x = 241,718,853.78/19,820.64
  6. Step 6: Final answer
    x = 12,195.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.