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Finding the Fourth Proportional to 13,737.89, 18,958.16 and 7,770.72

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Solution

The fourth proportional to 13,737.89, 18,958.16 and 7,770.72 is: 10,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.89 : 18,958.16 = 7,770.72 : x
  2. Step 2: Convert to fraction form
    13,737.89/18,958.16 = 7,770.72/x
  3. Step 3: Cross multiply
    13,737.89x = 18,958.16 × 7,770.72
  4. Step 4: Simplify right side
    13,737.89x = 147,318,514.22
  5. Step 5: Solve for x
    x = 147,318,514.22/13,737.89
  6. Step 6: Final answer
    x = 10,723.52

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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.