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Finding the Fourth Proportional to 23,261.60, 32,101.32 and 13,189.82

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Solution

The fourth proportional to 23,261.60, 32,101.32 and 13,189.82 is: 18,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.60 : 32,101.32 = 13,189.82 : x
  2. Step 2: Convert to fraction form
    23,261.60/32,101.32 = 13,189.82/x
  3. Step 3: Cross multiply
    23,261.60x = 32,101.32 × 13,189.82
  4. Step 4: Simplify right side
    23,261.60x = 423,410,472.06
  5. Step 5: Solve for x
    x = 423,410,472.06/23,261.60
  6. Step 6: Final answer
    x = 18,202.13

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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.