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Finding the Fourth Proportional to 19,720.82, 29,573.93 and 5,676.10

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Solution

The fourth proportional to 19,720.82, 29,573.93 and 5,676.10 is: 8,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.82 : 29,573.93 = 5,676.10 : x
  2. Step 2: Convert to fraction form
    19,720.82/29,573.93 = 5,676.10/x
  3. Step 3: Cross multiply
    19,720.82x = 29,573.93 × 5,676.10
  4. Step 4: Simplify right side
    19,720.82x = 167,864,584.07
  5. Step 5: Solve for x
    x = 167,864,584.07/19,720.82
  6. Step 6: Final answer
    x = 8,512.05

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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.