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Finding the Fourth Proportional to 12,820.22, 17,685.84 and 8,342.34

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Solution

The fourth proportional to 12,820.22, 17,685.84 and 8,342.34 is: 11,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.22 : 17,685.84 = 8,342.34 : x
  2. Step 2: Convert to fraction form
    12,820.22/17,685.84 = 8,342.34/x
  3. Step 3: Cross multiply
    12,820.22x = 17,685.84 × 8,342.34
  4. Step 4: Simplify right side
    12,820.22x = 147,541,354.91
  5. Step 5: Solve for x
    x = 147,541,354.91/12,820.22
  6. Step 6: Final answer
    x = 11,508.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.