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Finding the Fourth Proportional to 16,448.25, 24,665.05 and 5,200.80

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Solution

The fourth proportional to 16,448.25, 24,665.05 and 5,200.80 is: 7,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.25 : 24,665.05 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    16,448.25/24,665.05 = 5,200.80/x
  3. Step 3: Cross multiply
    16,448.25x = 24,665.05 × 5,200.80
  4. Step 4: Simplify right side
    16,448.25x = 128,277,992.04
  5. Step 5: Solve for x
    x = 128,277,992.04/16,448.25
  6. Step 6: Final answer
    x = 7,798.88

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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.