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Finding the Fourth Proportional to 13,217.65, 19,813.03 and 8,290.73

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Solution

The fourth proportional to 13,217.65, 19,813.03 and 8,290.73 is: 12,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.65 : 19,813.03 = 8,290.73 : x
  2. Step 2: Convert to fraction form
    13,217.65/19,813.03 = 8,290.73/x
  3. Step 3: Cross multiply
    13,217.65x = 19,813.03 × 8,290.73
  4. Step 4: Simplify right side
    13,217.65x = 164,264,511.02
  5. Step 5: Solve for x
    x = 164,264,511.02/13,217.65
  6. Step 6: Final answer
    x = 12,427.67

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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.