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Finding the Fourth Proportional to 13,713.72, 20,570.70 and 3,325.56

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Solution

The fourth proportional to 13,713.72, 20,570.70 and 3,325.56 is: 4,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.72 : 20,570.70 = 3,325.56 : x
  2. Step 2: Convert to fraction form
    13,713.72/20,570.70 = 3,325.56/x
  3. Step 3: Cross multiply
    13,713.72x = 20,570.70 × 3,325.56
  4. Step 4: Simplify right side
    13,713.72x = 68,409,097.09
  5. Step 5: Solve for x
    x = 68,409,097.09/13,713.72
  6. Step 6: Final answer
    x = 4,988.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.