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Finding the Fourth Proportional to 16,347, 24,520.50 and 4,035

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Solution

The fourth proportional to 16,347, 24,520.50 and 4,035 is: 6,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 24,520.50 = 4,035 : x
  2. Step 2: Convert to fraction form
    16,347/24,520.50 = 4,035/x
  3. Step 3: Cross multiply
    16,347x = 24,520.50 × 4,035
  4. Step 4: Simplify right side
    16,347x = 98,940,217.50
  5. Step 5: Solve for x
    x = 98,940,217.50/16,347
  6. Step 6: Final answer
    x = 6,052.50

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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.