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Finding the Fourth Proportional to 13,624.12, 20,410.26 and 7,762.96

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Solution

The fourth proportional to 13,624.12, 20,410.26 and 7,762.96 is: 11,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.12 : 20,410.26 = 7,762.96 : x
  2. Step 2: Convert to fraction form
    13,624.12/20,410.26 = 7,762.96/x
  3. Step 3: Cross multiply
    13,624.12x = 20,410.26 × 7,762.96
  4. Step 4: Simplify right side
    13,624.12x = 158,444,031.97
  5. Step 5: Solve for x
    x = 158,444,031.97/13,624.12
  6. Step 6: Final answer
    x = 11,629.67

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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.