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Finding the Fourth Proportional to 13,729.14, 18,946.24 and 7,760.84

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Solution

The fourth proportional to 13,729.14, 18,946.24 and 7,760.84 is: 10,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.14 : 18,946.24 = 7,760.84 : x
  2. Step 2: Convert to fraction form
    13,729.14/18,946.24 = 7,760.84/x
  3. Step 3: Cross multiply
    13,729.14x = 18,946.24 × 7,760.84
  4. Step 4: Simplify right side
    13,729.14x = 147,038,623.11
  5. Step 5: Solve for x
    x = 147,038,623.11/13,729.14
  6. Step 6: Final answer
    x = 10,709.97

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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.