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Finding the Fourth Proportional to 23,261.20, 32,101.90 and 13,189.46

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Solution

The fourth proportional to 23,261.20, 32,101.90 and 13,189.46 is: 18,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.20 : 32,101.90 = 13,189.46 : x
  2. Step 2: Convert to fraction form
    23,261.20/32,101.90 = 13,189.46/x
  3. Step 3: Cross multiply
    23,261.20x = 32,101.90 × 13,189.46
  4. Step 4: Simplify right side
    23,261.20x = 423,406,532.49
  5. Step 5: Solve for x
    x = 423,406,532.49/23,261.20
  6. Step 6: Final answer
    x = 18,202.27

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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.