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Finding the Fourth Proportional to 16,969.50, 25,456.41 and 4,657.50

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Solution

The fourth proportional to 16,969.50, 25,456.41 and 4,657.50 is: 6,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.50 : 25,456.41 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    16,969.50/25,456.41 = 4,657.50/x
  3. Step 3: Cross multiply
    16,969.50x = 25,456.41 × 4,657.50
  4. Step 4: Simplify right side
    16,969.50x = 118,563,229.58
  5. Step 5: Solve for x
    x = 118,563,229.58/16,969.50
  6. Step 6: Final answer
    x = 6,986.84

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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.