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Finding the Fourth Proportional to 12,023.64, 17,999.94 and 8,882.80

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Solution

The fourth proportional to 12,023.64, 17,999.94 and 8,882.80 is: 13,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.64 : 17,999.94 = 8,882.80 : x
  2. Step 2: Convert to fraction form
    12,023.64/17,999.94 = 8,882.80/x
  3. Step 3: Cross multiply
    12,023.64x = 17,999.94 × 8,882.80
  4. Step 4: Simplify right side
    12,023.64x = 159,889,867.03
  5. Step 5: Solve for x
    x = 159,889,867.03/12,023.64
  6. Step 6: Final answer
    x = 13,297.96

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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.