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Finding the Fourth Proportional to 13,817.44, 19,059.76 and 8,437.42

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Solution

The fourth proportional to 13,817.44, 19,059.76 and 8,437.42 is: 11,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.44 : 19,059.76 = 8,437.42 : x
  2. Step 2: Convert to fraction form
    13,817.44/19,059.76 = 8,437.42/x
  3. Step 3: Cross multiply
    13,817.44x = 19,059.76 × 8,437.42
  4. Step 4: Simplify right side
    13,817.44x = 160,815,200.22
  5. Step 5: Solve for x
    x = 160,815,200.22/13,817.44
  6. Step 6: Final answer
    x = 11,638.57

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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.