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Finding the Fourth Proportional to 13,701.42, 20,552.13 and 4,467.42

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Solution

The fourth proportional to 13,701.42, 20,552.13 and 4,467.42 is: 6,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.42 : 20,552.13 = 4,467.42 : x
  2. Step 2: Convert to fraction form
    13,701.42/20,552.13 = 4,467.42/x
  3. Step 3: Cross multiply
    13,701.42x = 20,552.13 × 4,467.42
  4. Step 4: Simplify right side
    13,701.42x = 91,814,996.60
  5. Step 5: Solve for x
    x = 91,814,996.60/13,701.42
  6. Step 6: Final answer
    x = 6,701.13

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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.