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Finding the Fourth Proportional to 12,762.24, 17,609.31 and 7,456.03

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Solution

The fourth proportional to 12,762.24, 17,609.31 and 7,456.03 is: 10,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.24 : 17,609.31 = 7,456.03 : x
  2. Step 2: Convert to fraction form
    12,762.24/17,609.31 = 7,456.03/x
  3. Step 3: Cross multiply
    12,762.24x = 17,609.31 × 7,456.03
  4. Step 4: Simplify right side
    12,762.24x = 131,295,643.14
  5. Step 5: Solve for x
    x = 131,295,643.14/12,762.24
  6. Step 6: Final answer
    x = 10,287.82

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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.