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Finding the Fourth Proportional to 16,516, 24,777.24 and 7,282

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Solution

The fourth proportional to 16,516, 24,777.24 and 7,282 is: 10,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516 : 24,777.24 = 7,282 : x
  2. Step 2: Convert to fraction form
    16,516/24,777.24 = 7,282/x
  3. Step 3: Cross multiply
    16,516x = 24,777.24 × 7,282
  4. Step 4: Simplify right side
    16,516x = 180,427,861.68
  5. Step 5: Solve for x
    x = 180,427,861.68/16,516
  6. Step 6: Final answer
    x = 10,924.43

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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.