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Finding the Fourth Proportional to 16,388.53, 24,582.81 and 7,022.47

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Solution

The fourth proportional to 16,388.53, 24,582.81 and 7,022.47 is: 10,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.53 : 24,582.81 = 7,022.47 : x
  2. Step 2: Convert to fraction form
    16,388.53/24,582.81 = 7,022.47/x
  3. Step 3: Cross multiply
    16,388.53x = 24,582.81 × 7,022.47
  4. Step 4: Simplify right side
    16,388.53x = 172,632,010.63
  5. Step 5: Solve for x
    x = 172,632,010.63/16,388.53
  6. Step 6: Final answer
    x = 10,533.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.