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Finding the Fourth Proportional to 16,435, 24,652.50 and 5,491

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Solution

The fourth proportional to 16,435, 24,652.50 and 5,491 is: 8,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435 : 24,652.50 = 5,491 : x
  2. Step 2: Convert to fraction form
    16,435/24,652.50 = 5,491/x
  3. Step 3: Cross multiply
    16,435x = 24,652.50 × 5,491
  4. Step 4: Simplify right side
    16,435x = 135,366,877.50
  5. Step 5: Solve for x
    x = 135,366,877.50/16,435
  6. Step 6: Final answer
    x = 8,236.50

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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.