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Finding the Fourth Proportional to 23,199.76, 32,015.22 and 13,128.02

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Solution

The fourth proportional to 23,199.76, 32,015.22 and 13,128.02 is: 18,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.76 : 32,015.22 = 13,128.02 : x
  2. Step 2: Convert to fraction form
    23,199.76/32,015.22 = 13,128.02/x
  3. Step 3: Cross multiply
    23,199.76x = 32,015.22 × 13,128.02
  4. Step 4: Simplify right side
    23,199.76x = 420,296,288.39
  5. Step 5: Solve for x
    x = 420,296,288.39/23,199.76
  6. Step 6: Final answer
    x = 18,116.41

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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.