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Finding the Fourth Proportional to 16,974.50, 23,424.84 and 9,420.56

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Solution

The fourth proportional to 16,974.50, 23,424.84 and 9,420.56 is: 13,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.50 : 23,424.84 = 9,420.56 : x
  2. Step 2: Convert to fraction form
    16,974.50/23,424.84 = 9,420.56/x
  3. Step 3: Cross multiply
    16,974.50x = 23,424.84 × 9,420.56
  4. Step 4: Simplify right side
    16,974.50x = 220,675,110.71
  5. Step 5: Solve for x
    x = 220,675,110.71/16,974.50
  6. Step 6: Final answer
    x = 13,000.39

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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.