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Finding the Fourth Proportional to 13,674.11, 18,870.44 and 7,705.62

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Solution

The fourth proportional to 13,674.11, 18,870.44 and 7,705.62 is: 10,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.11 : 18,870.44 = 7,705.62 : x
  2. Step 2: Convert to fraction form
    13,674.11/18,870.44 = 7,705.62/x
  3. Step 3: Cross multiply
    13,674.11x = 18,870.44 × 7,705.62
  4. Step 4: Simplify right side
    13,674.11x = 145,408,401.34
  5. Step 5: Solve for x
    x = 145,408,401.34/13,674.11
  6. Step 6: Final answer
    x = 10,633.85

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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.