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Finding the Fourth Proportional to 23,796.90, 32,839.65 and 13,186.53

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Solution

The fourth proportional to 23,796.90, 32,839.65 and 13,186.53 is: 18,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.90 : 32,839.65 = 13,186.53 : x
  2. Step 2: Convert to fraction form
    23,796.90/32,839.65 = 13,186.53/x
  3. Step 3: Cross multiply
    23,796.90x = 32,839.65 × 13,186.53
  4. Step 4: Simplify right side
    23,796.90x = 433,041,029.91
  5. Step 5: Solve for x
    x = 433,041,029.91/23,796.90
  6. Step 6: Final answer
    x = 18,197.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.