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Finding the Fourth Proportional to 16,532.45, 24,800.31 and 5,434.64

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Solution

The fourth proportional to 16,532.45, 24,800.31 and 5,434.64 is: 8,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.45 : 24,800.31 = 5,434.64 : x
  2. Step 2: Convert to fraction form
    16,532.45/24,800.31 = 5,434.64/x
  3. Step 3: Cross multiply
    16,532.45x = 24,800.31 × 5,434.64
  4. Step 4: Simplify right side
    16,532.45x = 134,780,756.74
  5. Step 5: Solve for x
    x = 134,780,756.74/16,532.45
  6. Step 6: Final answer
    x = 8,152.50

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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.