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Finding the Fourth Proportional to 12,762.44, 17,609.58 and 7,456.23

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Solution

The fourth proportional to 12,762.44, 17,609.58 and 7,456.23 is: 10,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.44 : 17,609.58 = 7,456.23 : x
  2. Step 2: Convert to fraction form
    12,762.44/17,609.58 = 7,456.23/x
  3. Step 3: Cross multiply
    12,762.44x = 17,609.58 × 7,456.23
  4. Step 4: Simplify right side
    12,762.44x = 131,301,043.98
  5. Step 5: Solve for x
    x = 131,301,043.98/12,762.44
  6. Step 6: Final answer
    x = 10,288.09

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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.