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Finding the Fourth Proportional to 23,882.20, 32,955.78 and 13,271.20

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Solution

The fourth proportional to 23,882.20, 32,955.78 and 13,271.20 is: 18,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.20 : 32,955.78 = 13,271.20 : x
  2. Step 2: Convert to fraction form
    23,882.20/32,955.78 = 13,271.20/x
  3. Step 3: Cross multiply
    23,882.20x = 32,955.78 × 13,271.20
  4. Step 4: Simplify right side
    23,882.20x = 437,362,747.54
  5. Step 5: Solve for x
    x = 437,362,747.54/23,882.20
  6. Step 6: Final answer
    x = 18,313.34

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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.