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Finding the Fourth Proportional to 12,531.70, 17,293.74 and 7,226.44

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Solution

The fourth proportional to 12,531.70, 17,293.74 and 7,226.44 is: 9,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.70 : 17,293.74 = 7,226.44 : x
  2. Step 2: Convert to fraction form
    12,531.70/17,293.74 = 7,226.44/x
  3. Step 3: Cross multiply
    12,531.70x = 17,293.74 × 7,226.44
  4. Step 4: Simplify right side
    12,531.70x = 124,972,174.49
  5. Step 5: Solve for x
    x = 124,972,174.49/12,531.70
  6. Step 6: Final answer
    x = 9,972.48

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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.