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Finding the Fourth Proportional to 23,900.94, 32,982.02 and 13,829.55

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Solution

The fourth proportional to 23,900.94, 32,982.02 and 13,829.55 is: 19,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.94 : 32,982.02 = 13,829.55 : x
  2. Step 2: Convert to fraction form
    23,900.94/32,982.02 = 13,829.55/x
  3. Step 3: Cross multiply
    23,900.94x = 32,982.02 × 13,829.55
  4. Step 4: Simplify right side
    23,900.94x = 456,126,425.54
  5. Step 5: Solve for x
    x = 456,126,425.54/23,900.94
  6. Step 6: Final answer
    x = 19,084.04

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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.