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Finding the Fourth Proportional to 23,212.54, 32,021.22 and 14,262.04

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Solution

The fourth proportional to 23,212.54, 32,021.22 and 14,262.04 is: 19,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.54 : 32,021.22 = 14,262.04 : x
  2. Step 2: Convert to fraction form
    23,212.54/32,021.22 = 14,262.04/x
  3. Step 3: Cross multiply
    23,212.54x = 32,021.22 × 14,262.04
  4. Step 4: Simplify right side
    23,212.54x = 456,687,920.49
  5. Step 5: Solve for x
    x = 456,687,920.49/23,212.54
  6. Step 6: Final answer
    x = 19,674.19

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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.