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Finding the Fourth Proportional to 12,525.84, 17,287.27 and 8,222.61

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Solution

The fourth proportional to 12,525.84, 17,287.27 and 8,222.61 is: 11,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.84 : 17,287.27 = 8,222.61 : x
  2. Step 2: Convert to fraction form
    12,525.84/17,287.27 = 8,222.61/x
  3. Step 3: Cross multiply
    12,525.84x = 17,287.27 × 8,222.61
  4. Step 4: Simplify right side
    12,525.84x = 142,146,569.70
  5. Step 5: Solve for x
    x = 142,146,569.70/12,525.84
  6. Step 6: Final answer
    x = 11,348.27

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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.