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Finding the Fourth Proportional to 13,205.23, 19,793.87 and 8,207.63

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Solution

The fourth proportional to 13,205.23, 19,793.87 and 8,207.63 is: 12,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.23 : 19,793.87 = 8,207.63 : x
  2. Step 2: Convert to fraction form
    13,205.23/19,793.87 = 8,207.63/x
  3. Step 3: Cross multiply
    13,205.23x = 19,793.87 × 8,207.63
  4. Step 4: Simplify right side
    13,205.23x = 162,460,726.23
  5. Step 5: Solve for x
    x = 162,460,726.23/13,205.23
  6. Step 6: Final answer
    x = 12,302.76

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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.