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Finding the Fourth Proportional to 13,493.41, 20,242.55 and 6,467.47

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Solution

The fourth proportional to 13,493.41, 20,242.55 and 6,467.47 is: 9,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.41 : 20,242.55 = 6,467.47 : x
  2. Step 2: Convert to fraction form
    13,493.41/20,242.55 = 6,467.47/x
  3. Step 3: Cross multiply
    13,493.41x = 20,242.55 × 6,467.47
  4. Step 4: Simplify right side
    13,493.41x = 130,918,052.51
  5. Step 5: Solve for x
    x = 130,918,052.51/13,493.41
  6. Step 6: Final answer
    x = 9,702.37

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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.