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Finding the Fourth Proportional to 13,005.33, 17,929.49 and 8,222.88

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Solution

The fourth proportional to 13,005.33, 17,929.49 and 8,222.88 is: 11,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.33 : 17,929.49 = 8,222.88 : x
  2. Step 2: Convert to fraction form
    13,005.33/17,929.49 = 8,222.88/x
  3. Step 3: Cross multiply
    13,005.33x = 17,929.49 × 8,222.88
  4. Step 4: Simplify right side
    13,005.33x = 147,432,044.73
  5. Step 5: Solve for x
    x = 147,432,044.73/13,005.33
  6. Step 6: Final answer
    x = 11,336.28

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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.