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Finding the Fourth Proportional to 13,405.86, 18,503.96 and 8,101.08

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Solution

The fourth proportional to 13,405.86, 18,503.96 and 8,101.08 is: 11,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.86 : 18,503.96 = 8,101.08 : x
  2. Step 2: Convert to fraction form
    13,405.86/18,503.96 = 8,101.08/x
  3. Step 3: Cross multiply
    13,405.86x = 18,503.96 × 8,101.08
  4. Step 4: Simplify right side
    13,405.86x = 149,902,019.77
  5. Step 5: Solve for x
    x = 149,902,019.77/13,405.86
  6. Step 6: Final answer
    x = 11,181.83

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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.