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Finding the Fourth Proportional to 13,180.92, 19,775.93 and 8,244.67

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Solution

The fourth proportional to 13,180.92, 19,775.93 and 8,244.67 is: 12,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.92 : 19,775.93 = 8,244.67 : x
  2. Step 2: Convert to fraction form
    13,180.92/19,775.93 = 8,244.67/x
  3. Step 3: Cross multiply
    13,180.92x = 19,775.93 × 8,244.67
  4. Step 4: Simplify right side
    13,180.92x = 163,046,016.79
  5. Step 5: Solve for x
    x = 163,046,016.79/13,180.92
  6. Step 6: Final answer
    x = 12,369.85

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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.