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Finding the Fourth Proportional to 13,715.70, 18,914.42 and 11,591.28

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Solution

The fourth proportional to 13,715.70, 18,914.42 and 11,591.28 is: 15,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.70 : 18,914.42 = 11,591.28 : x
  2. Step 2: Convert to fraction form
    13,715.70/18,914.42 = 11,591.28/x
  3. Step 3: Cross multiply
    13,715.70x = 18,914.42 × 11,591.28
  4. Step 4: Simplify right side
    13,715.70x = 219,242,280.30
  5. Step 5: Solve for x
    x = 219,242,280.30/13,715.70
  6. Step 6: Final answer
    x = 15,984.77

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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.