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Finding the Fourth Proportional to 13,813.56, 20,711.70 and 9,191.16

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Solution

The fourth proportional to 13,813.56, 20,711.70 and 9,191.16 is: 13,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.56 : 20,711.70 = 9,191.16 : x
  2. Step 2: Convert to fraction form
    13,813.56/20,711.70 = 9,191.16/x
  3. Step 3: Cross multiply
    13,813.56x = 20,711.70 × 9,191.16
  4. Step 4: Simplify right side
    13,813.56x = 190,364,548.57
  5. Step 5: Solve for x
    x = 190,364,548.57/13,813.56
  6. Step 6: Final answer
    x = 13,780.99

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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.