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Finding the Fourth Proportional to 13,202.54, 19,776.26 and 7,920.80

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Solution

The fourth proportional to 13,202.54, 19,776.26 and 7,920.80 is: 11,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.54 : 19,776.26 = 7,920.80 : x
  2. Step 2: Convert to fraction form
    13,202.54/19,776.26 = 7,920.80/x
  3. Step 3: Cross multiply
    13,202.54x = 19,776.26 × 7,920.80
  4. Step 4: Simplify right side
    13,202.54x = 156,643,800.21
  5. Step 5: Solve for x
    x = 156,643,800.21/13,202.54
  6. Step 6: Final answer
    x = 11,864.67

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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.