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Finding the Fourth Proportional to 16,008.64, 23,982.24 and 10,520

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Solution

The fourth proportional to 16,008.64, 23,982.24 and 10,520 is: 15,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.64 : 23,982.24 = 10,520 : x
  2. Step 2: Convert to fraction form
    16,008.64/23,982.24 = 10,520/x
  3. Step 3: Cross multiply
    16,008.64x = 23,982.24 × 10,520
  4. Step 4: Simplify right side
    16,008.64x = 252,293,164.80
  5. Step 5: Solve for x
    x = 252,293,164.80/16,008.64
  6. Step 6: Final answer
    x = 15,759.81

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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.