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Finding the Fourth Proportional to 16,069.76, 24,100 and 6,206.80

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Solution

The fourth proportional to 16,069.76, 24,100 and 6,206.80 is: 9,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.76 : 24,100 = 6,206.80 : x
  2. Step 2: Convert to fraction form
    16,069.76/24,100 = 6,206.80/x
  3. Step 3: Cross multiply
    16,069.76x = 24,100 × 6,206.80
  4. Step 4: Simplify right side
    16,069.76x = 149,583,880
  5. Step 5: Solve for x
    x = 149,583,880/16,069.76
  6. Step 6: Final answer
    x = 9,308.41

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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.