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Finding the Fourth Proportional to 16,530.45, 24,797.31 and 5,432.64

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Solution

The fourth proportional to 16,530.45, 24,797.31 and 5,432.64 is: 8,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.45 : 24,797.31 = 5,432.64 : x
  2. Step 2: Convert to fraction form
    16,530.45/24,797.31 = 5,432.64/x
  3. Step 3: Cross multiply
    16,530.45x = 24,797.31 × 5,432.64
  4. Step 4: Simplify right side
    16,530.45x = 134,714,858.20
  5. Step 5: Solve for x
    x = 134,714,858.20/16,530.45
  6. Step 6: Final answer
    x = 8,149.50

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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.