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Finding the Fourth Proportional to 13,004.83, 17,928.80 and 8,222.38

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Solution

The fourth proportional to 13,004.83, 17,928.80 and 8,222.38 is: 11,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.83 : 17,928.80 = 8,222.38 : x
  2. Step 2: Convert to fraction form
    13,004.83/17,928.80 = 8,222.38/x
  3. Step 3: Cross multiply
    13,004.83x = 17,928.80 × 8,222.38
  4. Step 4: Simplify right side
    13,004.83x = 147,417,406.54
  5. Step 5: Solve for x
    x = 147,417,406.54/13,004.83
  6. Step 6: Final answer
    x = 11,335.59

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Why These Related Problems?

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