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Finding the Fourth Proportional to 13,211.76, 18,231.65 and 7,909.50

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Solution

The fourth proportional to 13,211.76, 18,231.65 and 7,909.50 is: 10,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.76 : 18,231.65 = 7,909.50 : x
  2. Step 2: Convert to fraction form
    13,211.76/18,231.65 = 7,909.50/x
  3. Step 3: Cross multiply
    13,211.76x = 18,231.65 × 7,909.50
  4. Step 4: Simplify right side
    13,211.76x = 144,203,235.68
  5. Step 5: Solve for x
    x = 144,203,235.68/13,211.76
  6. Step 6: Final answer
    x = 10,914.76

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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.