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Finding the Fourth Proportional to 12,524.18, 17,287.17 and 7,222.46

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Solution

The fourth proportional to 12,524.18, 17,287.17 and 7,222.46 is: 9,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.18 : 17,287.17 = 7,222.46 : x
  2. Step 2: Convert to fraction form
    12,524.18/17,287.17 = 7,222.46/x
  3. Step 3: Cross multiply
    12,524.18x = 17,287.17 × 7,222.46
  4. Step 4: Simplify right side
    12,524.18x = 124,855,893.84
  5. Step 5: Solve for x
    x = 124,855,893.84/12,524.18
  6. Step 6: Final answer
    x = 9,969.19

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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.