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Finding the Fourth Proportional to 23,882.94, 32,957.01 and 13,272.21

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Solution

The fourth proportional to 23,882.94, 32,957.01 and 13,272.21 is: 18,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.94 : 32,957.01 = 13,272.21 : x
  2. Step 2: Convert to fraction form
    23,882.94/32,957.01 = 13,272.21/x
  3. Step 3: Cross multiply
    23,882.94x = 32,957.01 × 13,272.21
  4. Step 4: Simplify right side
    23,882.94x = 437,412,357.69
  5. Step 5: Solve for x
    x = 437,412,357.69/23,882.94
  6. Step 6: Final answer
    x = 18,314.85

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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.