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Finding the Fourth Proportional to 16,591.74, 24,889.95 and 6,202.50

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Solution

The fourth proportional to 16,591.74, 24,889.95 and 6,202.50 is: 9,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.74 : 24,889.95 = 6,202.50 : x
  2. Step 2: Convert to fraction form
    16,591.74/24,889.95 = 6,202.50/x
  3. Step 3: Cross multiply
    16,591.74x = 24,889.95 × 6,202.50
  4. Step 4: Simplify right side
    16,591.74x = 154,379,914.88
  5. Step 5: Solve for x
    x = 154,379,914.88/16,591.74
  6. Step 6: Final answer
    x = 9,304.62

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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.