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Finding the Fourth Proportional to 16,644.98, 22,972.50 and 10,683.38

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Solution

The fourth proportional to 16,644.98, 22,972.50 and 10,683.38 is: 14,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.98 : 22,972.50 = 10,683.38 : x
  2. Step 2: Convert to fraction form
    16,644.98/22,972.50 = 10,683.38/x
  3. Step 3: Cross multiply
    16,644.98x = 22,972.50 × 10,683.38
  4. Step 4: Simplify right side
    16,644.98x = 245,423,947.05
  5. Step 5: Solve for x
    x = 245,423,947.05/16,644.98
  6. Step 6: Final answer
    x = 14,744.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.