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Finding the Fourth Proportional to 23,796.01, 32,838.10 and 13,040.80

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Solution

The fourth proportional to 23,796.01, 32,838.10 and 13,040.80 is: 17,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.01 : 32,838.10 = 13,040.80 : x
  2. Step 2: Convert to fraction form
    23,796.01/32,838.10 = 13,040.80/x
  3. Step 3: Cross multiply
    23,796.01x = 32,838.10 × 13,040.80
  4. Step 4: Simplify right side
    23,796.01x = 428,235,094.48
  5. Step 5: Solve for x
    x = 428,235,094.48/23,796.01
  6. Step 6: Final answer
    x = 17,996.09

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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.