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Finding the Fourth Proportional to 13,004.33, 17,928.11 and 8,221.88

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Solution

The fourth proportional to 13,004.33, 17,928.11 and 8,221.88 is: 11,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.33 : 17,928.11 = 8,221.88 : x
  2. Step 2: Convert to fraction form
    13,004.33/17,928.11 = 8,221.88/x
  3. Step 3: Cross multiply
    13,004.33x = 17,928.11 × 8,221.88
  4. Step 4: Simplify right side
    13,004.33x = 147,402,781.11
  5. Step 5: Solve for x
    x = 147,402,781.11/13,004.33
  6. Step 6: Final answer
    x = 11,334.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.