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Finding the Fourth Proportional to 13,539.30, 20,313.30 and 6,518.39

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Solution

The fourth proportional to 13,539.30, 20,313.30 and 6,518.39 is: 9,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.30 : 20,313.30 = 6,518.39 : x
  2. Step 2: Convert to fraction form
    13,539.30/20,313.30 = 6,518.39/x
  3. Step 3: Cross multiply
    13,539.30x = 20,313.30 × 6,518.39
  4. Step 4: Simplify right side
    13,539.30x = 132,409,910.02
  5. Step 5: Solve for x
    x = 132,409,910.02/13,539.30
  6. Step 6: Final answer
    x = 9,779.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.