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Finding the Fourth Proportional to 12,744.93, 17,590.82 and 7,081.63

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Solution

The fourth proportional to 12,744.93, 17,590.82 and 7,081.63 is: 9,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.93 : 17,590.82 = 7,081.63 : x
  2. Step 2: Convert to fraction form
    12,744.93/17,590.82 = 7,081.63/x
  3. Step 3: Cross multiply
    12,744.93x = 17,590.82 × 7,081.63
  4. Step 4: Simplify right side
    12,744.93x = 124,571,634.66
  5. Step 5: Solve for x
    x = 124,571,634.66/12,744.93
  6. Step 6: Final answer
    x = 9,774.21

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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.