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Finding the Fourth Proportional to 21,932.40, 32,871.60 and 14,912.40

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Solution

The fourth proportional to 21,932.40, 32,871.60 and 14,912.40 is: 22,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.40 : 32,871.60 = 14,912.40 : x
  2. Step 2: Convert to fraction form
    21,932.40/32,871.60 = 14,912.40/x
  3. Step 3: Cross multiply
    21,932.40x = 32,871.60 × 14,912.40
  4. Step 4: Simplify right side
    21,932.40x = 490,194,447.84
  5. Step 5: Solve for x
    x = 490,194,447.84/21,932.40
  6. Step 6: Final answer
    x = 22,350.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.