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Finding the Fourth Proportional to 12,686.97, 17,514.09 and 8,445.09

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Solution

The fourth proportional to 12,686.97, 17,514.09 and 8,445.09 is: 11,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.97 : 17,514.09 = 8,445.09 : x
  2. Step 2: Convert to fraction form
    12,686.97/17,514.09 = 8,445.09/x
  3. Step 3: Cross multiply
    12,686.97x = 17,514.09 × 8,445.09
  4. Step 4: Simplify right side
    12,686.97x = 147,908,066.32
  5. Step 5: Solve for x
    x = 147,908,066.32/12,686.97
  6. Step 6: Final answer
    x = 11,658.27

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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.