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Finding the Fourth Proportional to 24,189.36, 36,267 and 9,385.80

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Solution

The fourth proportional to 24,189.36, 36,267 and 9,385.80 is: 14,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.36 : 36,267 = 9,385.80 : x
  2. Step 2: Convert to fraction form
    24,189.36/36,267 = 9,385.80/x
  3. Step 3: Cross multiply
    24,189.36x = 36,267 × 9,385.80
  4. Step 4: Simplify right side
    24,189.36x = 340,394,808.60
  5. Step 5: Solve for x
    x = 340,394,808.60/24,189.36
  6. Step 6: Final answer
    x = 14,072.09

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1.5x scale

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.