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Finding the Fourth Proportional to 12,698.89, 17,524.16 and 7,033.28

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Solution

The fourth proportional to 12,698.89, 17,524.16 and 7,033.28 is: 9,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.89 : 17,524.16 = 7,033.28 : x
  2. Step 2: Convert to fraction form
    12,698.89/17,524.16 = 7,033.28/x
  3. Step 3: Cross multiply
    12,698.89x = 17,524.16 × 7,033.28
  4. Step 4: Simplify right side
    12,698.89x = 123,252,324.04
  5. Step 5: Solve for x
    x = 123,252,324.04/12,698.89
  6. Step 6: Final answer
    x = 9,705.76

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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.