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Finding the Fourth Proportional to 16,517, 24,778.56 and 5,424.32

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Solution

The fourth proportional to 16,517, 24,778.56 and 5,424.32 is: 8,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517 : 24,778.56 = 5,424.32 : x
  2. Step 2: Convert to fraction form
    16,517/24,778.56 = 5,424.32/x
  3. Step 3: Cross multiply
    16,517x = 24,778.56 × 5,424.32
  4. Step 4: Simplify right side
    16,517x = 134,406,838.58
  5. Step 5: Solve for x
    x = 134,406,838.58/16,517
  6. Step 6: Final answer
    x = 8,137.48

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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.