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Finding the Fourth Proportional to 16,503.50, 24,744.31 and 5,972.15

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Solution

The fourth proportional to 16,503.50, 24,744.31 and 5,972.15 is: 8,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.50 : 24,744.31 = 5,972.15 : x
  2. Step 2: Convert to fraction form
    16,503.50/24,744.31 = 5,972.15/x
  3. Step 3: Cross multiply
    16,503.50x = 24,744.31 × 5,972.15
  4. Step 4: Simplify right side
    16,503.50x = 147,776,765.74
  5. Step 5: Solve for x
    x = 147,776,765.74/16,503.50
  6. Step 6: Final answer
    x = 8,954.27

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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.