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Finding the Fourth Proportional to 12,004.80, 16,824 and 12,004.80

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Solution

The fourth proportional to 12,004.80, 16,824 and 12,004.80 is: 16,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.80 : 16,824 = 12,004.80 : x
  2. Step 2: Convert to fraction form
    12,004.80/16,824 = 12,004.80/x
  3. Step 3: Cross multiply
    12,004.80x = 16,824 × 12,004.80
  4. Step 4: Simplify right side
    12,004.80x = 201,968,755.20
  5. Step 5: Solve for x
    x = 201,968,755.20/12,004.80
  6. Step 6: Final answer
    x = 16,824

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.