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Finding the Fourth Proportional to 13,820.80, 20,725.12 and 5,053.44

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Solution

The fourth proportional to 13,820.80, 20,725.12 and 5,053.44 is: 7,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.80 : 20,725.12 = 5,053.44 : x
  2. Step 2: Convert to fraction form
    13,820.80/20,725.12 = 5,053.44/x
  3. Step 3: Cross multiply
    13,820.80x = 20,725.12 × 5,053.44
  4. Step 4: Simplify right side
    13,820.80x = 104,733,150.41
  5. Step 5: Solve for x
    x = 104,733,150.41/13,820.80
  6. Step 6: Final answer
    x = 7,577.94

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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.