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Finding the Fourth Proportional to 12,723.75, 17,554.20 and 7,686.06

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Solution

The fourth proportional to 12,723.75, 17,554.20 and 7,686.06 is: 10,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.75 : 17,554.20 = 7,686.06 : x
  2. Step 2: Convert to fraction form
    12,723.75/17,554.20 = 7,686.06/x
  3. Step 3: Cross multiply
    12,723.75x = 17,554.20 × 7,686.06
  4. Step 4: Simplify right side
    12,723.75x = 134,922,634.45
  5. Step 5: Solve for x
    x = 134,922,634.45/12,723.75
  6. Step 6: Final answer
    x = 10,604.00

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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.