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Finding the Fourth Proportional to 16,827, 25,240.98 and 4,515

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Solution

The fourth proportional to 16,827, 25,240.98 and 4,515 is: 6,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827 : 25,240.98 = 4,515 : x
  2. Step 2: Convert to fraction form
    16,827/25,240.98 = 4,515/x
  3. Step 3: Cross multiply
    16,827x = 25,240.98 × 4,515
  4. Step 4: Simplify right side
    16,827x = 113,963,024.70
  5. Step 5: Solve for x
    x = 113,963,024.70/16,827
  6. Step 6: Final answer
    x = 6,772.63

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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.