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Finding the Fourth Proportional to 13,674.69, 18,871.20 and 7,705.80

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Solution

The fourth proportional to 13,674.69, 18,871.20 and 7,705.80 is: 10,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.69 : 18,871.20 = 7,705.80 : x
  2. Step 2: Convert to fraction form
    13,674.69/18,871.20 = 7,705.80/x
  3. Step 3: Cross multiply
    13,674.69x = 18,871.20 × 7,705.80
  4. Step 4: Simplify right side
    13,674.69x = 145,417,692.96
  5. Step 5: Solve for x
    x = 145,417,692.96/13,674.69
  6. Step 6: Final answer
    x = 10,634.08

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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.