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Finding the Fourth Proportional to 13,932.98, 20,863.79 and 7,686.05

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Solution

The fourth proportional to 13,932.98, 20,863.79 and 7,686.05 is: 11,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.98 : 20,863.79 = 7,686.05 : x
  2. Step 2: Convert to fraction form
    13,932.98/20,863.79 = 7,686.05/x
  3. Step 3: Cross multiply
    13,932.98x = 20,863.79 × 7,686.05
  4. Step 4: Simplify right side
    13,932.98x = 160,360,133.13
  5. Step 5: Solve for x
    x = 160,360,133.13/13,932.98
  6. Step 6: Final answer
    x = 11,509.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.