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Finding the Fourth Proportional to 13,820.15, 20,714.82 and 5,497.94

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Solution

The fourth proportional to 13,820.15, 20,714.82 and 5,497.94 is: 8,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.15 : 20,714.82 = 5,497.94 : x
  2. Step 2: Convert to fraction form
    13,820.15/20,714.82 = 5,497.94/x
  3. Step 3: Cross multiply
    13,820.15x = 20,714.82 × 5,497.94
  4. Step 4: Simplify right side
    13,820.15x = 113,888,837.47
  5. Step 5: Solve for x
    x = 113,888,837.47/13,820.15
  6. Step 6: Final answer
    x = 8,240.78

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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.