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Finding the Fourth Proportional to 16,528.68, 24,782.00 and 5,431.41

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Solution

The fourth proportional to 16,528.68, 24,782.00 and 5,431.41 is: 8,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.68 : 24,782.00 = 5,431.41 : x
  2. Step 2: Convert to fraction form
    16,528.68/24,782.00 = 5,431.41/x
  3. Step 3: Cross multiply
    16,528.68x = 24,782.00 × 5,431.41
  4. Step 4: Simplify right side
    16,528.68x = 134,601,175.46
  5. Step 5: Solve for x
    x = 134,601,175.46/16,528.68
  6. Step 6: Final answer
    x = 8,143.49

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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.