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Finding the Fourth Proportional to 23,201.60, 32,016.07 and 13,128.41

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Solution

The fourth proportional to 23,201.60, 32,016.07 and 13,128.41 is: 18,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.60 : 32,016.07 = 13,128.41 : x
  2. Step 2: Convert to fraction form
    23,201.60/32,016.07 = 13,128.41/x
  3. Step 3: Cross multiply
    23,201.60x = 32,016.07 × 13,128.41
  4. Step 4: Simplify right side
    23,201.60x = 420,320,093.55
  5. Step 5: Solve for x
    x = 420,320,093.55/23,201.60
  6. Step 6: Final answer
    x = 18,116.00

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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.