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Finding the Fourth Proportional to 16,515, 24,767.64 and 4,825.44

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Solution

The fourth proportional to 16,515, 24,767.64 and 4,825.44 is: 7,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515 : 24,767.64 = 4,825.44 : x
  2. Step 2: Convert to fraction form
    16,515/24,767.64 = 4,825.44/x
  3. Step 3: Cross multiply
    16,515x = 24,767.64 × 4,825.44
  4. Step 4: Simplify right side
    16,515x = 119,514,760.76
  5. Step 5: Solve for x
    x = 119,514,760.76/16,515
  6. Step 6: Final answer
    x = 7,236.74

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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.