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Finding the Fourth Proportional to 13,493.82, 20,224.80 and 6,089.58

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Solution

The fourth proportional to 13,493.82, 20,224.80 and 6,089.58 is: 9,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.82 : 20,224.80 = 6,089.58 : x
  2. Step 2: Convert to fraction form
    13,493.82/20,224.80 = 6,089.58/x
  3. Step 3: Cross multiply
    13,493.82x = 20,224.80 × 6,089.58
  4. Step 4: Simplify right side
    13,493.82x = 123,160,537.58
  5. Step 5: Solve for x
    x = 123,160,537.58/13,493.82
  6. Step 6: Final answer
    x = 9,127.18

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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.