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Finding the Fourth Proportional to 13,817.56, 19,059.42 and 11,303.32

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Solution

The fourth proportional to 13,817.56, 19,059.42 and 11,303.32 is: 15,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.56 : 19,059.42 = 11,303.32 : x
  2. Step 2: Convert to fraction form
    13,817.56/19,059.42 = 11,303.32/x
  3. Step 3: Cross multiply
    13,817.56x = 19,059.42 × 11,303.32
  4. Step 4: Simplify right side
    13,817.56x = 215,434,723.27
  5. Step 5: Solve for x
    x = 215,434,723.27/13,817.56
  6. Step 6: Final answer
    x = 15,591.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.