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Finding the Fourth Proportional to 12,675.88, 18,922.37 and 10,709.80

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Solution

The fourth proportional to 12,675.88, 18,922.37 and 10,709.80 is: 15,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.88 : 18,922.37 = 10,709.80 : x
  2. Step 2: Convert to fraction form
    12,675.88/18,922.37 = 10,709.80/x
  3. Step 3: Cross multiply
    12,675.88x = 18,922.37 × 10,709.80
  4. Step 4: Simplify right side
    12,675.88x = 202,654,798.23
  5. Step 5: Solve for x
    x = 202,654,798.23/12,675.88
  6. Step 6: Final answer
    x = 15,987.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.