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Finding the Fourth Proportional to 23,119.21, 31,902.18 and 13,047.05

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Solution

The fourth proportional to 23,119.21, 31,902.18 and 13,047.05 is: 18,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.21 : 31,902.18 = 13,047.05 : x
  2. Step 2: Convert to fraction form
    23,119.21/31,902.18 = 13,047.05/x
  3. Step 3: Cross multiply
    23,119.21x = 31,902.18 × 13,047.05
  4. Step 4: Simplify right side
    23,119.21x = 416,229,315.37
  5. Step 5: Solve for x
    x = 416,229,315.37/23,119.21
  6. Step 6: Final answer
    x = 18,003.62

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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.