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Finding the Fourth Proportional to 13,908.98, 20,852.64 and 6,884.15

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Solution

The fourth proportional to 13,908.98, 20,852.64 and 6,884.15 is: 10,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.98 : 20,852.64 = 6,884.15 : x
  2. Step 2: Convert to fraction form
    13,908.98/20,852.64 = 6,884.15/x
  3. Step 3: Cross multiply
    13,908.98x = 20,852.64 × 6,884.15
  4. Step 4: Simplify right side
    13,908.98x = 143,552,597.39
  5. Step 5: Solve for x
    x = 143,552,597.39/13,908.98
  6. Step 6: Final answer
    x = 10,320.86

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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.