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Finding the Fourth Proportional to 16,539, 24,802.38 and 5,442.48

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Solution

The fourth proportional to 16,539, 24,802.38 and 5,442.48 is: 8,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539 : 24,802.38 = 5,442.48 : x
  2. Step 2: Convert to fraction form
    16,539/24,802.38 = 5,442.48/x
  3. Step 3: Cross multiply
    16,539x = 24,802.38 × 5,442.48
  4. Step 4: Simplify right side
    16,539x = 134,986,457.10
  5. Step 5: Solve for x
    x = 134,986,457.10/16,539
  6. Step 6: Final answer
    x = 8,161.71

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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.