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Finding the Fourth Proportional to 12,721.83, 17,555.16 and 7,131.75

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Solution

The fourth proportional to 12,721.83, 17,555.16 and 7,131.75 is: 9,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.83 : 17,555.16 = 7,131.75 : x
  2. Step 2: Convert to fraction form
    12,721.83/17,555.16 = 7,131.75/x
  3. Step 3: Cross multiply
    12,721.83x = 17,555.16 × 7,131.75
  4. Step 4: Simplify right side
    12,721.83x = 125,199,012.33
  5. Step 5: Solve for x
    x = 125,199,012.33/12,721.83
  6. Step 6: Final answer
    x = 9,841.27

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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.