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Finding the Fourth Proportional to 12,761.54, 17,610.98 and 7,455.23

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Solution

The fourth proportional to 12,761.54, 17,610.98 and 7,455.23 is: 10,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.54 : 17,610.98 = 7,455.23 : x
  2. Step 2: Convert to fraction form
    12,761.54/17,610.98 = 7,455.23/x
  3. Step 3: Cross multiply
    12,761.54x = 17,610.98 × 7,455.23
  4. Step 4: Simplify right side
    12,761.54x = 131,293,781.09
  5. Step 5: Solve for x
    x = 131,293,781.09/12,761.54
  6. Step 6: Final answer
    x = 10,288.24

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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.