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Finding the Fourth Proportional to 12,770.85, 17,623.73 and 7,464.62

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Solution

The fourth proportional to 12,770.85, 17,623.73 and 7,464.62 is: 10,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.85 : 17,623.73 = 7,464.62 : x
  2. Step 2: Convert to fraction form
    12,770.85/17,623.73 = 7,464.62/x
  3. Step 3: Cross multiply
    12,770.85x = 17,623.73 × 7,464.62
  4. Step 4: Simplify right side
    12,770.85x = 131,554,321.99
  5. Step 5: Solve for x
    x = 131,554,321.99/12,770.85
  6. Step 6: Final answer
    x = 10,301.14

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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.