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Finding the Fourth Proportional to 13,602, 18,771 and 8,014.32

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Solution

The fourth proportional to 13,602, 18,771 and 8,014.32 is: 11,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602 : 18,771 = 8,014.32 : x
  2. Step 2: Convert to fraction form
    13,602/18,771 = 8,014.32/x
  3. Step 3: Cross multiply
    13,602x = 18,771 × 8,014.32
  4. Step 4: Simplify right side
    13,602x = 150,436,800.72
  5. Step 5: Solve for x
    x = 150,436,800.72/13,602
  6. Step 6: Final answer
    x = 11,059.90

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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.