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Finding the Fourth Proportional to 12,761.69, 17,605.08 and 8,514.72

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Solution

The fourth proportional to 12,761.69, 17,605.08 and 8,514.72 is: 11,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.69 : 17,605.08 = 8,514.72 : x
  2. Step 2: Convert to fraction form
    12,761.69/17,605.08 = 8,514.72/x
  3. Step 3: Cross multiply
    12,761.69x = 17,605.08 × 8,514.72
  4. Step 4: Simplify right side
    12,761.69x = 149,902,326.78
  5. Step 5: Solve for x
    x = 149,902,326.78/12,761.69
  6. Step 6: Final answer
    x = 11,746.28

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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.