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Finding the Fourth Proportional to 12,532.52, 17,293.73 and 7,226.31

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Solution

The fourth proportional to 12,532.52, 17,293.73 and 7,226.31 is: 9,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.52 : 17,293.73 = 7,226.31 : x
  2. Step 2: Convert to fraction form
    12,532.52/17,293.73 = 7,226.31/x
  3. Step 3: Cross multiply
    12,532.52x = 17,293.73 × 7,226.31
  4. Step 4: Simplify right side
    12,532.52x = 124,969,817.90
  5. Step 5: Solve for x
    x = 124,969,817.90/12,532.52
  6. Step 6: Final answer
    x = 9,971.65

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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.